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Finding the Third Proportional to 429,327 and 667,623

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Solution

The third proportional to 429,327 and 667,623 is: 1,038,184.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,327 : 667,623 = 667,623 : x
  2. Step 2: Convert to fraction form
    429,327/667,623 = 667,623/x
  3. Step 3: Cross multiply
    429,327x = 667,623 × 667,623
  4. Step 4: Simplify right side
    429,327x = 445,720,470,129
  5. Step 5: Solve for x
    x = 445,720,470,129/429,327
  6. Step 6: Final answer
    x = 1,038,184.11

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.