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Finding the Third Proportional to 121,840 and 189,384

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Solution

The third proportional to 121,840 and 189,384 is: 294,372.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,840 : 189,384 = 189,384 : x
  2. Step 2: Convert to fraction form
    121,840/189,384 = 189,384/x
  3. Step 3: Cross multiply
    121,840x = 189,384 × 189,384
  4. Step 4: Simplify right side
    121,840x = 35,866,299,456
  5. Step 5: Solve for x
    x = 35,866,299,456/121,840
  6. Step 6: Final answer
    x = 294,372.12

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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.