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Finding the Third Proportional to 121,644 and 261,400

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Solution

The third proportional to 121,644 and 261,400 is: 561,720.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,644 : 261,400 = 261,400 : x
  2. Step 2: Convert to fraction form
    121,644/261,400 = 261,400/x
  3. Step 3: Cross multiply
    121,644x = 261,400 × 261,400
  4. Step 4: Simplify right side
    121,644x = 68,329,960,000
  5. Step 5: Solve for x
    x = 68,329,960,000/121,644
  6. Step 6: Final answer
    x = 561,720.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.