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Finding the Third Proportional to 429,628 and 663,882

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Solution

The third proportional to 429,628 and 663,882 is: 1,025,862.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,628 : 663,882 = 663,882 : x
  2. Step 2: Convert to fraction form
    429,628/663,882 = 663,882/x
  3. Step 3: Cross multiply
    429,628x = 663,882 × 663,882
  4. Step 4: Simplify right side
    429,628x = 440,739,309,924
  5. Step 5: Solve for x
    x = 440,739,309,924/429,628
  6. Step 6: Final answer
    x = 1,025,862.63

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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.