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Finding the Third Proportional to 710,313,132,032 and 1,676,211,864,984

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Solution

The third proportional to 710,313,132,032 and 1,676,211,864,984 is: 3,955,560,005,311.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,313,132,032 : 1,676,211,864,984 = 1,676,211,864,984 : x
  2. Step 2: Convert to fraction form
    710,313,132,032/1,676,211,864,984 = 1,676,211,864,984/x
  3. Step 3: Cross multiply
    710,313,132,032x = 1,676,211,864,984 × 1,676,211,864,984
  4. Step 4: Simplify right side
    710,313,132,032x = 2,809,686,216,313,139,638,566,912
  5. Step 5: Solve for x
    x = 2,809,686,216,313,139,638,566,912/710,313,132,032
  6. Step 6: Final answer
    x = 3,955,560,005,311.24

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.