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Finding the Third Proportional to 239,373 and 518,637

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Solution

The third proportional to 239,373 and 518,637 is: 1,123,703.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,373 : 518,637 = 518,637 : x
  2. Step 2: Convert to fraction form
    239,373/518,637 = 518,637/x
  3. Step 3: Cross multiply
    239,373x = 518,637 × 518,637
  4. Step 4: Simplify right side
    239,373x = 268,984,337,769
  5. Step 5: Solve for x
    x = 268,984,337,769/239,373
  6. Step 6: Final answer
    x = 1,123,703.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.