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Finding the Third Proportional to 458,666 and 674,518

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Solution

The third proportional to 458,666 and 674,518 is: 991,951.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,666 : 674,518 = 674,518 : x
  2. Step 2: Convert to fraction form
    458,666/674,518 = 674,518/x
  3. Step 3: Cross multiply
    458,666x = 674,518 × 674,518
  4. Step 4: Simplify right side
    458,666x = 454,974,532,324
  5. Step 5: Solve for x
    x = 454,974,532,324/458,666
  6. Step 6: Final answer
    x = 991,951.73

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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.