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Finding the Third Proportional to 389,514.38 and 582,712.88

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Solution

The third proportional to 389,514.38 and 582,712.88 is: 871,737.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,514.38 : 582,712.88 = 582,712.88 : x
  2. Step 2: Convert to fraction form
    389,514.38/582,712.88 = 582,712.88/x
  3. Step 3: Cross multiply
    389,514.38x = 582,712.88 × 582,712.88
  4. Step 4: Simplify right side
    389,514.38x = 339,554,294,690.77
  5. Step 5: Solve for x
    x = 339,554,294,690.77/389,514.38
  6. Step 6: Final answer
    x = 871,737.52

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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.