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Finding the Third Proportional to 429,179 and 663,496

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Solution

The third proportional to 429,179 and 663,496 is: 1,025,742.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,179 : 663,496 = 663,496 : x
  2. Step 2: Convert to fraction form
    429,179/663,496 = 663,496/x
  3. Step 3: Cross multiply
    429,179x = 663,496 × 663,496
  4. Step 4: Simplify right side
    429,179x = 440,226,942,016
  5. Step 5: Solve for x
    x = 440,226,942,016/429,179
  6. Step 6: Final answer
    x = 1,025,742.04

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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.