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Finding the Third Proportional to 81,118,455 and 123,720,827

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Solution

The third proportional to 81,118,455 and 123,720,827 is: 188,697,418.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,118,455 : 123,720,827 = 123,720,827 : x
  2. Step 2: Convert to fraction form
    81,118,455/123,720,827 = 123,720,827/x
  3. Step 3: Cross multiply
    81,118,455x = 123,720,827 × 123,720,827
  4. Step 4: Simplify right side
    81,118,455x = 15,306,843,033,563,928
  5. Step 5: Solve for x
    x = 15,306,843,033,563,928/81,118,455
  6. Step 6: Final answer
    x = 188,697,418.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.