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Finding the Third Proportional to 458,802 and 674,815

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Solution

The third proportional to 458,802 and 674,815 is: 992,531.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,802 : 674,815 = 674,815 : x
  2. Step 2: Convert to fraction form
    458,802/674,815 = 674,815/x
  3. Step 3: Cross multiply
    458,802x = 674,815 × 674,815
  4. Step 4: Simplify right side
    458,802x = 455,375,284,225
  5. Step 5: Solve for x
    x = 455,375,284,225/458,802
  6. Step 6: Final answer
    x = 992,531.17

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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.