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Finding the Third Proportional to 389,614.50 and 582,864.19

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Solution

The third proportional to 389,614.50 and 582,864.19 is: 871,966.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,614.50 : 582,864.19 = 582,864.19 : x
  2. Step 2: Convert to fraction form
    389,614.50/582,864.19 = 582,864.19/x
  3. Step 3: Cross multiply
    389,614.50x = 582,864.19 × 582,864.19
  4. Step 4: Simplify right side
    389,614.50x = 339,730,661,070.04
  5. Step 5: Solve for x
    x = 339,730,661,070.04/389,614.50
  6. Step 6: Final answer
    x = 871,966.16

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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.