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Finding the Third Proportional to 180,624 and 281,277

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Solution

The third proportional to 180,624 and 281,277 is: 438,019.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,624 : 281,277 = 281,277 : x
  2. Step 2: Convert to fraction form
    180,624/281,277 = 281,277/x
  3. Step 3: Cross multiply
    180,624x = 281,277 × 281,277
  4. Step 4: Simplify right side
    180,624x = 79,116,750,729
  5. Step 5: Solve for x
    x = 79,116,750,729/180,624
  6. Step 6: Final answer
    x = 438,019.04

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.