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Finding the Third Proportional to 122,077.13 and 189,001.69

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Solution

The third proportional to 122,077.13 and 189,001.69 is: 292,615.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,077.13 : 189,001.69 = 189,001.69 : x
  2. Step 2: Convert to fraction form
    122,077.13/189,001.69 = 189,001.69/x
  3. Step 3: Cross multiply
    122,077.13x = 189,001.69 × 189,001.69
  4. Step 4: Simplify right side
    122,077.13x = 35,721,637,877.85
  5. Step 5: Solve for x
    x = 35,721,637,877.85/122,077.13
  6. Step 6: Final answer
    x = 292,615.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.