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Finding the Third Proportional to 82,019.25 and 133,929.56

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Solution

The third proportional to 82,019.25 and 133,929.56 is: 218,694.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,019.25 : 133,929.56 = 133,929.56 : x
  2. Step 2: Convert to fraction form
    82,019.25/133,929.56 = 133,929.56/x
  3. Step 3: Cross multiply
    82,019.25x = 133,929.56 × 133,929.56
  4. Step 4: Simplify right side
    82,019.25x = 17,937,127,711.44
  5. Step 5: Solve for x
    x = 17,937,127,711.44/82,019.25
  6. Step 6: Final answer
    x = 218,694.12

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