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Finding the Third Proportional to 259,479 and 331,560

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Solution

The third proportional to 259,479 and 331,560 is: 423,664.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,479 : 331,560 = 331,560 : x
  2. Step 2: Convert to fraction form
    259,479/331,560 = 331,560/x
  3. Step 3: Cross multiply
    259,479x = 331,560 × 331,560
  4. Step 4: Simplify right side
    259,479x = 109,932,033,600
  5. Step 5: Solve for x
    x = 109,932,033,600/259,479
  6. Step 6: Final answer
    x = 423,664.47

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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.