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Finding the Third Proportional to 81,962,092.13 and 133,822,551.38

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Solution

The third proportional to 81,962,092.13 and 133,822,551.38 is: 218,497,048.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,962,092.13 : 133,822,551.38 = 133,822,551.38 : x
  2. Step 2: Convert to fraction form
    81,962,092.13/133,822,551.38 = 133,822,551.38/x
  3. Step 3: Cross multiply
    81,962,092.13x = 133,822,551.38 × 133,822,551.38
  4. Step 4: Simplify right side
    81,962,092.13x = 17,908,475,256,514,514
  5. Step 5: Solve for x
    x = 17,908,475,256,514,514/81,962,092.13
  6. Step 6: Final answer
    x = 218,497,048.97

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.