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Finding the Third Proportional to 431,388 and 667,272

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Solution

The third proportional to 431,388 and 667,272 is: 1,032,137.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,388 : 667,272 = 667,272 : x
  2. Step 2: Convert to fraction form
    431,388/667,272 = 667,272/x
  3. Step 3: Cross multiply
    431,388x = 667,272 × 667,272
  4. Step 4: Simplify right side
    431,388x = 445,251,921,984
  5. Step 5: Solve for x
    x = 445,251,921,984/431,388
  6. Step 6: Final answer
    x = 1,032,137.94

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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.