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Finding the Third Proportional to 120,800 and 272,918

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Solution

The third proportional to 120,800 and 272,918 is: 616,591.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,800 : 272,918 = 272,918 : x
  2. Step 2: Convert to fraction form
    120,800/272,918 = 272,918/x
  3. Step 3: Cross multiply
    120,800x = 272,918 × 272,918
  4. Step 4: Simplify right side
    120,800x = 74,484,234,724
  5. Step 5: Solve for x
    x = 74,484,234,724/120,800
  6. Step 6: Final answer
    x = 616,591.35

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.