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Finding the Third Proportional to 338,756 and 527,478

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Solution

The third proportional to 338,756 and 527,478 is: 821,337.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,756 : 527,478 = 527,478 : x
  2. Step 2: Convert to fraction form
    338,756/527,478 = 527,478/x
  3. Step 3: Cross multiply
    338,756x = 527,478 × 527,478
  4. Step 4: Simplify right side
    338,756x = 278,233,040,484
  5. Step 5: Solve for x
    x = 278,233,040,484/338,756
  6. Step 6: Final answer
    x = 821,337.60

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.