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Finding the Third Proportional to 389,510 and 582,709

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Solution

The third proportional to 389,510 and 582,709 is: 871,735.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,510 : 582,709 = 582,709 : x
  2. Step 2: Convert to fraction form
    389,510/582,709 = 582,709/x
  3. Step 3: Cross multiply
    389,510x = 582,709 × 582,709
  4. Step 4: Simplify right side
    389,510x = 339,549,778,681
  5. Step 5: Solve for x
    x = 339,549,778,681/389,510
  6. Step 6: Final answer
    x = 871,735.72

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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.