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Finding the Third Proportional to 431,892 and 677,448

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Solution

The third proportional to 431,892 and 677,448 is: 1,062,617.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,892 : 677,448 = 677,448 : x
  2. Step 2: Convert to fraction form
    431,892/677,448 = 677,448/x
  3. Step 3: Cross multiply
    431,892x = 677,448 × 677,448
  4. Step 4: Simplify right side
    431,892x = 458,935,792,704
  5. Step 5: Solve for x
    x = 458,935,792,704/431,892
  6. Step 6: Final answer
    x = 1,062,617.03

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.