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Finding the Third Proportional to 513,301.50 and 765,560.25

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Solution

The third proportional to 513,301.50 and 765,560.25 is: 1,141,789.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,301.50 : 765,560.25 = 765,560.25 : x
  2. Step 2: Convert to fraction form
    513,301.50/765,560.25 = 765,560.25/x
  3. Step 3: Cross multiply
    513,301.50x = 765,560.25 × 765,560.25
  4. Step 4: Simplify right side
    513,301.50x = 586,082,496,380.06
  5. Step 5: Solve for x
    x = 586,082,496,380.06/513,301.50
  6. Step 6: Final answer
    x = 1,141,789.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.