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Finding the Third Proportional to 121,588.17 and 194,239.69

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Solution

The third proportional to 121,588.17 and 194,239.69 is: 310,302.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,588.17 : 194,239.69 = 194,239.69 : x
  2. Step 2: Convert to fraction form
    121,588.17/194,239.69 = 194,239.69/x
  3. Step 3: Cross multiply
    121,588.17x = 194,239.69 × 194,239.69
  4. Step 4: Simplify right side
    121,588.17x = 37,729,056,200.10
  5. Step 5: Solve for x
    x = 37,729,056,200.10/121,588.17
  6. Step 6: Final answer
    x = 310,302.03

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.