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Finding the Third Proportional to 81,513.84 and 177,508.13

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Solution

The third proportional to 81,513.84 and 177,508.13 is: 386,549.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,513.84 : 177,508.13 = 177,508.13 : x
  2. Step 2: Convert to fraction form
    81,513.84/177,508.13 = 177,508.13/x
  3. Step 3: Cross multiply
    81,513.84x = 177,508.13 × 177,508.13
  4. Step 4: Simplify right side
    81,513.84x = 31,509,134,441.02
  5. Step 5: Solve for x
    x = 31,509,134,441.02/81,513.84
  6. Step 6: Final answer
    x = 386,549.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.