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Finding the Third Proportional to 445,521 and 690,474

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Solution

The third proportional to 445,521 and 690,474 is: 1,070,105.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,521 : 690,474 = 690,474 : x
  2. Step 2: Convert to fraction form
    445,521/690,474 = 690,474/x
  3. Step 3: Cross multiply
    445,521x = 690,474 × 690,474
  4. Step 4: Simplify right side
    445,521x = 476,754,344,676
  5. Step 5: Solve for x
    x = 476,754,344,676/445,521
  6. Step 6: Final answer
    x = 1,070,105.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.