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Finding the Third Proportional to 135,702 and 289,439

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Solution

The third proportional to 135,702 and 289,439 is: 617,344.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,702 : 289,439 = 289,439 : x
  2. Step 2: Convert to fraction form
    135,702/289,439 = 289,439/x
  3. Step 3: Cross multiply
    135,702x = 289,439 × 289,439
  4. Step 4: Simplify right side
    135,702x = 83,774,934,721
  5. Step 5: Solve for x
    x = 83,774,934,721/135,702
  6. Step 6: Final answer
    x = 617,344.88

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.