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Finding the Third Proportional to 121,873 and 188,342

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Solution

The third proportional to 121,873 and 188,342 is: 291,062.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,873 : 188,342 = 188,342 : x
  2. Step 2: Convert to fraction form
    121,873/188,342 = 188,342/x
  3. Step 3: Cross multiply
    121,873x = 188,342 × 188,342
  4. Step 4: Simplify right side
    121,873x = 35,472,708,964
  5. Step 5: Solve for x
    x = 35,472,708,964/121,873
  6. Step 6: Final answer
    x = 291,062.90

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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.