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Finding the Third Proportional to 121,569 and 252,802

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Solution

The third proportional to 121,569 and 252,802 is: 525,700.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,569 : 252,802 = 252,802 : x
  2. Step 2: Convert to fraction form
    121,569/252,802 = 252,802/x
  3. Step 3: Cross multiply
    121,569x = 252,802 × 252,802
  4. Step 4: Simplify right side
    121,569x = 63,908,851,204
  5. Step 5: Solve for x
    x = 63,908,851,204/121,569
  6. Step 6: Final answer
    x = 525,700.23

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.