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Finding the Third Proportional to 121,689 and 260,577

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Solution

The third proportional to 121,689 and 260,577 is: 557,982.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,689 : 260,577 = 260,577 : x
  2. Step 2: Convert to fraction form
    121,689/260,577 = 260,577/x
  3. Step 3: Cross multiply
    121,689x = 260,577 × 260,577
  4. Step 4: Simplify right side
    121,689x = 67,900,372,929
  5. Step 5: Solve for x
    x = 67,900,372,929/121,689
  6. Step 6: Final answer
    x = 557,982.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.