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Finding the Third Proportional to 429,498 and 660,474

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Solution

The third proportional to 429,498 and 660,474 is: 1,015,664.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,498 : 660,474 = 660,474 : x
  2. Step 2: Convert to fraction form
    429,498/660,474 = 660,474/x
  3. Step 3: Cross multiply
    429,498x = 660,474 × 660,474
  4. Step 4: Simplify right side
    429,498x = 436,225,904,676
  5. Step 5: Solve for x
    x = 436,225,904,676/429,498
  6. Step 6: Final answer
    x = 1,015,664.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.