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Finding the Third Proportional to 458,668 and 674,521

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Solution

The third proportional to 458,668 and 674,521 is: 991,956.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,668 : 674,521 = 674,521 : x
  2. Step 2: Convert to fraction form
    458,668/674,521 = 674,521/x
  3. Step 3: Cross multiply
    458,668x = 674,521 × 674,521
  4. Step 4: Simplify right side
    458,668x = 454,978,579,441
  5. Step 5: Solve for x
    x = 454,978,579,441/458,668
  6. Step 6: Final answer
    x = 991,956.23

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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.