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Finding the Third Proportional to 538,809,600 and 1,163,840,160

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Solution

The third proportional to 538,809,600 and 1,163,840,160 is: 2,513,919,421.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,809,600 : 1,163,840,160 = 1,163,840,160 : x
  2. Step 2: Convert to fraction form
    538,809,600/1,163,840,160 = 1,163,840,160/x
  3. Step 3: Cross multiply
    538,809,600x = 1,163,840,160 × 1,163,840,160
  4. Step 4: Simplify right side
    538,809,600x = 1,354,523,918,028,825,600
  5. Step 5: Solve for x
    x = 1,354,523,918,028,825,600/538,809,600
  6. Step 6: Final answer
    x = 2,513,919,421.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.