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Finding the Third Proportional to 122,721 and 132,657

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Solution

The third proportional to 122,721 and 132,657 is: 143,397.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,721 : 132,657 = 132,657 : x
  2. Step 2: Convert to fraction form
    122,721/132,657 = 132,657/x
  3. Step 3: Cross multiply
    122,721x = 132,657 × 132,657
  4. Step 4: Simplify right side
    122,721x = 17,597,879,649
  5. Step 5: Solve for x
    x = 17,597,879,649/122,721
  6. Step 6: Final answer
    x = 143,397.46

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.