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Finding the Third Proportional to 429,180 and 663,498

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Solution

The third proportional to 429,180 and 663,498 is: 1,025,745.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,180 : 663,498 = 663,498 : x
  2. Step 2: Convert to fraction form
    429,180/663,498 = 663,498/x
  3. Step 3: Cross multiply
    429,180x = 663,498 × 663,498
  4. Step 4: Simplify right side
    429,180x = 440,229,596,004
  5. Step 5: Solve for x
    x = 440,229,596,004/429,180
  6. Step 6: Final answer
    x = 1,025,745.83

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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.