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Finding the Third Proportional to 91,740.09 and 129,192.47

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Solution

The third proportional to 91,740.09 and 129,192.47 is: 181,934.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,740.09 : 129,192.47 = 129,192.47 : x
  2. Step 2: Convert to fraction form
    91,740.09/129,192.47 = 129,192.47/x
  3. Step 3: Cross multiply
    91,740.09x = 129,192.47 × 129,192.47
  4. Step 4: Simplify right side
    91,740.09x = 16,690,693,981.72
  5. Step 5: Solve for x
    x = 16,690,693,981.72/91,740.09
  6. Step 6: Final answer
    x = 181,934.56

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.