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Finding the Third Proportional to 122,132 and 257,384

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Solution

The third proportional to 122,132 and 257,384 is: 542,417.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,132 : 257,384 = 257,384 : x
  2. Step 2: Convert to fraction form
    122,132/257,384 = 257,384/x
  3. Step 3: Cross multiply
    122,132x = 257,384 × 257,384
  4. Step 4: Simplify right side
    122,132x = 66,246,523,456
  5. Step 5: Solve for x
    x = 66,246,523,456/122,132
  6. Step 6: Final answer
    x = 542,417.41

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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.