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Finding the Third Proportional to 458,750 and 674,589

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Solution

The third proportional to 458,750 and 674,589 is: 991,978.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,750 : 674,589 = 674,589 : x
  2. Step 2: Convert to fraction form
    458,750/674,589 = 674,589/x
  3. Step 3: Cross multiply
    458,750x = 674,589 × 674,589
  4. Step 4: Simplify right side
    458,750x = 455,070,318,921
  5. Step 5: Solve for x
    x = 455,070,318,921/458,750
  6. Step 6: Final answer
    x = 991,978.90

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.