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Finding the Third Proportional to 259,908 and 413,520

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Solution

The third proportional to 259,908 and 413,520 is: 657,920.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,908 : 413,520 = 413,520 : x
  2. Step 2: Convert to fraction form
    259,908/413,520 = 413,520/x
  3. Step 3: Cross multiply
    259,908x = 413,520 × 413,520
  4. Step 4: Simplify right side
    259,908x = 170,998,790,400
  5. Step 5: Solve for x
    x = 170,998,790,400/259,908
  6. Step 6: Final answer
    x = 657,920.46

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.