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Finding the Third Proportional to 82,748 and 178,619

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Solution

The third proportional to 82,748 and 178,619 is: 385,565.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,748 : 178,619 = 178,619 : x
  2. Step 2: Convert to fraction form
    82,748/178,619 = 178,619/x
  3. Step 3: Cross multiply
    82,748x = 178,619 × 178,619
  4. Step 4: Simplify right side
    82,748x = 31,904,747,161
  5. Step 5: Solve for x
    x = 31,904,747,161/82,748
  6. Step 6: Final answer
    x = 385,565.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.