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Finding the Third Proportional to 122,151 and 257,424

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Solution

The third proportional to 122,151 and 257,424 is: 542,501.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,151 : 257,424 = 257,424 : x
  2. Step 2: Convert to fraction form
    122,151/257,424 = 257,424/x
  3. Step 3: Cross multiply
    122,151x = 257,424 × 257,424
  4. Step 4: Simplify right side
    122,151x = 66,267,115,776
  5. Step 5: Solve for x
    x = 66,267,115,776/122,151
  6. Step 6: Final answer
    x = 542,501.62

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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.