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Finding the Third Proportional to 312,140.62 and 671,654.85

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Solution

The third proportional to 312,140.62 and 671,654.85 is: 1,445,246.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,140.62 : 671,654.85 = 671,654.85 : x
  2. Step 2: Convert to fraction form
    312,140.62/671,654.85 = 671,654.85/x
  3. Step 3: Cross multiply
    312,140.62x = 671,654.85 × 671,654.85
  4. Step 4: Simplify right side
    312,140.62x = 451,120,234,380.14
  5. Step 5: Solve for x
    x = 451,120,234,380.14/312,140.62
  6. Step 6: Final answer
    x = 1,445,246.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.