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Finding the Third Proportional to 389,513 and 582,712

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Solution

The third proportional to 389,513 and 582,712 is: 871,737.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,513 : 582,712 = 582,712 : x
  2. Step 2: Convert to fraction form
    389,513/582,712 = 582,712/x
  3. Step 3: Cross multiply
    389,513x = 582,712 × 582,712
  4. Step 4: Simplify right side
    389,513x = 339,553,274,944
  5. Step 5: Solve for x
    x = 339,553,274,944/389,513
  6. Step 6: Final answer
    x = 871,737.98

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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.