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Finding the Third Proportional to 61,517,810 and 145,218,578

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Solution

The third proportional to 61,517,810 and 145,218,578 is: 342,802,115.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,517,810 : 145,218,578 = 145,218,578 : x
  2. Step 2: Convert to fraction form
    61,517,810/145,218,578 = 145,218,578/x
  3. Step 3: Cross multiply
    61,517,810x = 145,218,578 × 145,218,578
  4. Step 4: Simplify right side
    61,517,810x = 21,088,435,396,342,084
  5. Step 5: Solve for x
    x = 21,088,435,396,342,084/61,517,810
  6. Step 6: Final answer
    x = 342,802,115.30

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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.