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Finding the Third Proportional to 122,129 and 257,377

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Solution

The third proportional to 122,129 and 257,377 is: 542,401.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,129 : 257,377 = 257,377 : x
  2. Step 2: Convert to fraction form
    122,129/257,377 = 257,377/x
  3. Step 3: Cross multiply
    122,129x = 257,377 × 257,377
  4. Step 4: Simplify right side
    122,129x = 66,242,920,129
  5. Step 5: Solve for x
    x = 66,242,920,129/122,129
  6. Step 6: Final answer
    x = 542,401.23

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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.