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Finding the Third Proportional to 429,741 and 663,291

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Solution

The third proportional to 429,741 and 663,291 is: 1,023,767.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,741 : 663,291 = 663,291 : x
  2. Step 2: Convert to fraction form
    429,741/663,291 = 663,291/x
  3. Step 3: Cross multiply
    429,741x = 663,291 × 663,291
  4. Step 4: Simplify right side
    429,741x = 439,954,950,681
  5. Step 5: Solve for x
    x = 439,954,950,681/429,741
  6. Step 6: Final answer
    x = 1,023,767.69

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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.