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Finding the Third Proportional to 458,901 and 674,847

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Solution

The third proportional to 458,901 and 674,847 is: 992,411.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,901 : 674,847 = 674,847 : x
  2. Step 2: Convert to fraction form
    458,901/674,847 = 674,847/x
  3. Step 3: Cross multiply
    458,901x = 674,847 × 674,847
  4. Step 4: Simplify right side
    458,901x = 455,418,473,409
  5. Step 5: Solve for x
    x = 455,418,473,409/458,901
  6. Step 6: Final answer
    x = 992,411.16

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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.