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Finding the Third Proportional to 181,280 and 391,672

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Solution

The third proportional to 181,280 and 391,672 is: 846,243.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,280 : 391,672 = 391,672 : x
  2. Step 2: Convert to fraction form
    181,280/391,672 = 391,672/x
  3. Step 3: Cross multiply
    181,280x = 391,672 × 391,672
  4. Step 4: Simplify right side
    181,280x = 153,406,955,584
  5. Step 5: Solve for x
    x = 153,406,955,584/181,280
  6. Step 6: Final answer
    x = 846,243.14

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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.