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Finding the Third Proportional to 259,468 and 331,548

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Solution

The third proportional to 259,468 and 331,548 is: 423,651.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,468 : 331,548 = 331,548 : x
  2. Step 2: Convert to fraction form
    259,468/331,548 = 331,548/x
  3. Step 3: Cross multiply
    259,468x = 331,548 × 331,548
  4. Step 4: Simplify right side
    259,468x = 109,924,076,304
  5. Step 5: Solve for x
    x = 109,924,076,304/259,468
  6. Step 6: Final answer
    x = 423,651.77

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.