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Finding the Third Proportional to 425,523.38 and 658,856.53

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Solution

The third proportional to 425,523.38 and 658,856.53 is: 1,020,136.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,523.38 : 658,856.53 = 658,856.53 : x
  2. Step 2: Convert to fraction form
    425,523.38/658,856.53 = 658,856.53/x
  3. Step 3: Cross multiply
    425,523.38x = 658,856.53 × 658,856.53
  4. Step 4: Simplify right side
    425,523.38x = 434,091,928,770.78
  5. Step 5: Solve for x
    x = 434,091,928,770.78/425,523.38
  6. Step 6: Final answer
    x = 1,020,136.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.