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Finding the Third Proportional to 120,815 and 261,540

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Solution

The third proportional to 120,815 and 261,540 is: 566,181.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,815 : 261,540 = 261,540 : x
  2. Step 2: Convert to fraction form
    120,815/261,540 = 261,540/x
  3. Step 3: Cross multiply
    120,815x = 261,540 × 261,540
  4. Step 4: Simplify right side
    120,815x = 68,403,171,600
  5. Step 5: Solve for x
    x = 68,403,171,600/120,815
  6. Step 6: Final answer
    x = 566,181.12

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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.