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Finding the Third Proportional to 275,331 and 418,234.50

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Solution

The third proportional to 275,331 and 418,234.50 is: 635,308.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,331 : 418,234.50 = 418,234.50 : x
  2. Step 2: Convert to fraction form
    275,331/418,234.50 = 418,234.50/x
  3. Step 3: Cross multiply
    275,331x = 418,234.50 × 418,234.50
  4. Step 4: Simplify right side
    275,331x = 174,920,096,990.25
  5. Step 5: Solve for x
    x = 174,920,096,990.25/275,331
  6. Step 6: Final answer
    x = 635,308.40

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.