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Finding the Third Proportional to 81,643,041 and 126,413,463.38

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Solution

The third proportional to 81,643,041 and 126,413,463.38 is: 195,734,547.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,643,041 : 126,413,463.38 = 126,413,463.38 : x
  2. Step 2: Convert to fraction form
    81,643,041/126,413,463.38 = 126,413,463.38/x
  3. Step 3: Cross multiply
    81,643,041x = 126,413,463.38 × 126,413,463.38
  4. Step 4: Simplify right side
    81,643,041x = 15,980,363,722,462,466
  5. Step 5: Solve for x
    x = 15,980,363,722,462,466/81,643,041
  6. Step 6: Final answer
    x = 195,734,547.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.