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Finding the Third Proportional to 180,680 and 281,028

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Solution

The third proportional to 180,680 and 281,028 is: 437,108.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,680 : 281,028 = 281,028 : x
  2. Step 2: Convert to fraction form
    180,680/281,028 = 281,028/x
  3. Step 3: Cross multiply
    180,680x = 281,028 × 281,028
  4. Step 4: Simplify right side
    180,680x = 78,976,736,784
  5. Step 5: Solve for x
    x = 78,976,736,784/180,680
  6. Step 6: Final answer
    x = 437,108.35

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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.