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Finding the Third Proportional to 498,789.75 and 730,488.75

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Solution

The third proportional to 498,789.75 and 730,488.75 is: 1,069,817.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,789.75 : 730,488.75 = 730,488.75 : x
  2. Step 2: Convert to fraction form
    498,789.75/730,488.75 = 730,488.75/x
  3. Step 3: Cross multiply
    498,789.75x = 730,488.75 × 730,488.75
  4. Step 4: Simplify right side
    498,789.75x = 533,613,813,876.56
  5. Step 5: Solve for x
    x = 533,613,813,876.56/498,789.75
  6. Step 6: Final answer
    x = 1,069,817.12

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.