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Finding the Third Proportional to 121,129.88 and 169,740

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Solution

The third proportional to 121,129.88 and 169,740 is: 237,857.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,129.88 : 169,740 = 169,740 : x
  2. Step 2: Convert to fraction form
    121,129.88/169,740 = 169,740/x
  3. Step 3: Cross multiply
    121,129.88x = 169,740 × 169,740
  4. Step 4: Simplify right side
    121,129.88x = 28,811,667,600
  5. Step 5: Solve for x
    x = 28,811,667,600/121,129.88
  6. Step 6: Final answer
    x = 237,857.65

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.