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Finding the Third Proportional to 180,920 and 266,150

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Solution

The third proportional to 180,920 and 266,150 is: 391,531.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,920 : 266,150 = 266,150 : x
  2. Step 2: Convert to fraction form
    180,920/266,150 = 266,150/x
  3. Step 3: Cross multiply
    180,920x = 266,150 × 266,150
  4. Step 4: Simplify right side
    180,920x = 70,835,822,500
  5. Step 5: Solve for x
    x = 70,835,822,500/180,920
  6. Step 6: Final answer
    x = 391,531.19

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.