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Finding the Third Proportional to 180,633 and 281,287

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Solution

The third proportional to 180,633 and 281,287 is: 438,028.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,633 : 281,287 = 281,287 : x
  2. Step 2: Convert to fraction form
    180,633/281,287 = 281,287/x
  3. Step 3: Cross multiply
    180,633x = 281,287 × 281,287
  4. Step 4: Simplify right side
    180,633x = 79,122,376,369
  5. Step 5: Solve for x
    x = 79,122,376,369/180,633
  6. Step 6: Final answer
    x = 438,028.36

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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.