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Finding the Third Proportional to 458,623 and 674,443

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Solution

The third proportional to 458,623 and 674,443 is: 991,824.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,623 : 674,443 = 674,443 : x
  2. Step 2: Convert to fraction form
    458,623/674,443 = 674,443/x
  3. Step 3: Cross multiply
    458,623x = 674,443 × 674,443
  4. Step 4: Simplify right side
    458,623x = 454,873,360,249
  5. Step 5: Solve for x
    x = 454,873,360,249/458,623
  6. Step 6: Final answer
    x = 991,824.13

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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.