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Finding the Third Proportional to 120,930 and 261,560

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Solution

The third proportional to 120,930 and 261,560 is: 565,729.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,930 : 261,560 = 261,560 : x
  2. Step 2: Convert to fraction form
    120,930/261,560 = 261,560/x
  3. Step 3: Cross multiply
    120,930x = 261,560 × 261,560
  4. Step 4: Simplify right side
    120,930x = 68,413,633,600
  5. Step 5: Solve for x
    x = 68,413,633,600/120,930
  6. Step 6: Final answer
    x = 565,729.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.