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Finding the Third Proportional to 625,428 and 969,686

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Solution

The third proportional to 625,428 and 969,686 is: 1,503,435.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,428 : 969,686 = 969,686 : x
  2. Step 2: Convert to fraction form
    625,428/969,686 = 969,686/x
  3. Step 3: Cross multiply
    625,428x = 969,686 × 969,686
  4. Step 4: Simplify right side
    625,428x = 940,290,938,596
  5. Step 5: Solve for x
    x = 940,290,938,596/625,428
  6. Step 6: Final answer
    x = 1,503,435.95

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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.