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Finding the Third Proportional to 309,591.38 and 680,070.75

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Solution

The third proportional to 309,591.38 and 680,070.75 is: 1,493,892.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,591.38 : 680,070.75 = 680,070.75 : x
  2. Step 2: Convert to fraction form
    309,591.38/680,070.75 = 680,070.75/x
  3. Step 3: Cross multiply
    309,591.38x = 680,070.75 × 680,070.75
  4. Step 4: Simplify right side
    309,591.38x = 462,496,225,005.56
  5. Step 5: Solve for x
    x = 462,496,225,005.56/309,591.38
  6. Step 6: Final answer
    x = 1,493,892.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.