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Finding the Third Proportional to 68,760,497 and 103,140,759

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Solution

The third proportional to 68,760,497 and 103,140,759 is: 154,711,158.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,760,497 : 103,140,759 = 103,140,759 : x
  2. Step 2: Convert to fraction form
    68,760,497/103,140,759 = 103,140,759/x
  3. Step 3: Cross multiply
    68,760,497x = 103,140,759 × 103,140,759
  4. Step 4: Simplify right side
    68,760,497x = 10,638,016,167,096,080
  5. Step 5: Solve for x
    x = 10,638,016,167,096,080/68,760,497
  6. Step 6: Final answer
    x = 154,711,158.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.