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Finding the Third Proportional to 180,630 and 281,288

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Solution

The third proportional to 180,630 and 281,288 is: 438,038.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,630 : 281,288 = 281,288 : x
  2. Step 2: Convert to fraction form
    180,630/281,288 = 281,288/x
  3. Step 3: Cross multiply
    180,630x = 281,288 × 281,288
  4. Step 4: Simplify right side
    180,630x = 79,122,938,944
  5. Step 5: Solve for x
    x = 79,122,938,944/180,630
  6. Step 6: Final answer
    x = 438,038.75

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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.