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Finding the Third Proportional to 121,666 and 260,532

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Solution

The third proportional to 121,666 and 260,532 is: 557,895.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,666 : 260,532 = 260,532 : x
  2. Step 2: Convert to fraction form
    121,666/260,532 = 260,532/x
  3. Step 3: Cross multiply
    121,666x = 260,532 × 260,532
  4. Step 4: Simplify right side
    121,666x = 67,876,923,024
  5. Step 5: Solve for x
    x = 67,876,923,024/121,666
  6. Step 6: Final answer
    x = 557,895.57

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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.