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Finding the Third Proportional to 181,288 and 391,688

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Solution

The third proportional to 181,288 and 391,688 is: 846,274.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,288 : 391,688 = 391,688 : x
  2. Step 2: Convert to fraction form
    181,288/391,688 = 391,688/x
  3. Step 3: Cross multiply
    181,288x = 391,688 × 391,688
  4. Step 4: Simplify right side
    181,288x = 153,419,489,344
  5. Step 5: Solve for x
    x = 153,419,489,344/181,288
  6. Step 6: Final answer
    x = 846,274.93

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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.