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Finding the Third Proportional to 122,715 and 164,207.25

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Solution

The third proportional to 122,715 and 164,207.25 is: 219,728.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,715 : 164,207.25 = 164,207.25 : x
  2. Step 2: Convert to fraction form
    122,715/164,207.25 = 164,207.25/x
  3. Step 3: Cross multiply
    122,715x = 164,207.25 × 164,207.25
  4. Step 4: Simplify right side
    122,715x = 26,964,020,952.56
  5. Step 5: Solve for x
    x = 26,964,020,952.56/122,715
  6. Step 6: Final answer
    x = 219,728.81

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.