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Finding the Third Proportional to 490,601.25 and 738,331.88

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Solution

The third proportional to 490,601.25 and 738,331.88 is: 1,111,154.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,601.25 : 738,331.88 = 738,331.88 : x
  2. Step 2: Convert to fraction form
    490,601.25/738,331.88 = 738,331.88/x
  3. Step 3: Cross multiply
    490,601.25x = 738,331.88 × 738,331.88
  4. Step 4: Simplify right side
    490,601.25x = 545,133,957,641.02
  5. Step 5: Solve for x
    x = 545,133,957,641.02/490,601.25
  6. Step 6: Final answer
    x = 1,111,154.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.