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Finding the Third Proportional to 454,447.13 and 691,114.78

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Solution

The third proportional to 454,447.13 and 691,114.78 is: 1,051,034.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,447.13 : 691,114.78 = 691,114.78 : x
  2. Step 2: Convert to fraction form
    454,447.13/691,114.78 = 691,114.78/x
  3. Step 3: Cross multiply
    454,447.13x = 691,114.78 × 691,114.78
  4. Step 4: Simplify right side
    454,447.13x = 477,639,640,862.24
  5. Step 5: Solve for x
    x = 477,639,640,862.24/454,447.13
  6. Step 6: Final answer
    x = 1,051,034.57

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.