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Finding the Third Proportional to 121,578 and 252,820

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Solution

The third proportional to 121,578 and 252,820 is: 525,736.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,578 : 252,820 = 252,820 : x
  2. Step 2: Convert to fraction form
    121,578/252,820 = 252,820/x
  3. Step 3: Cross multiply
    121,578x = 252,820 × 252,820
  4. Step 4: Simplify right side
    121,578x = 63,917,952,400
  5. Step 5: Solve for x
    x = 63,917,952,400/121,578
  6. Step 6: Final answer
    x = 525,736.17

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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.