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Finding the Third Proportional to 458,676 and 674,531

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Solution

The third proportional to 458,676 and 674,531 is: 991,968.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,676 : 674,531 = 674,531 : x
  2. Step 2: Convert to fraction form
    458,676/674,531 = 674,531/x
  3. Step 3: Cross multiply
    458,676x = 674,531 × 674,531
  4. Step 4: Simplify right side
    458,676x = 454,992,069,961
  5. Step 5: Solve for x
    x = 454,992,069,961/458,676
  6. Step 6: Final answer
    x = 991,968.34

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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.