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Finding the Third Proportional to 121,988 and 257,098

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Solution

The third proportional to 121,988 and 257,098 is: 541,851.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,988 : 257,098 = 257,098 : x
  2. Step 2: Convert to fraction form
    121,988/257,098 = 257,098/x
  3. Step 3: Cross multiply
    121,988x = 257,098 × 257,098
  4. Step 4: Simplify right side
    121,988x = 66,099,381,604
  5. Step 5: Solve for x
    x = 66,099,381,604/121,988
  6. Step 6: Final answer
    x = 541,851.51

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.