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Finding the Third Proportional to 181,481 and 281,585

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Solution

The third proportional to 181,481 and 281,585 is: 436,905.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,481 : 281,585 = 281,585 : x
  2. Step 2: Convert to fraction form
    181,481/281,585 = 281,585/x
  3. Step 3: Cross multiply
    181,481x = 281,585 × 281,585
  4. Step 4: Simplify right side
    181,481x = 79,290,112,225
  5. Step 5: Solve for x
    x = 79,290,112,225/181,481
  6. Step 6: Final answer
    x = 436,905.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.