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Finding the Third Proportional to 121,888.50 and 189,471

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Solution

The third proportional to 121,888.50 and 189,471 is: 294,525.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,888.50 : 189,471 = 189,471 : x
  2. Step 2: Convert to fraction form
    121,888.50/189,471 = 189,471/x
  3. Step 3: Cross multiply
    121,888.50x = 189,471 × 189,471
  4. Step 4: Simplify right side
    121,888.50x = 35,899,259,841
  5. Step 5: Solve for x
    x = 35,899,259,841/121,888.50
  6. Step 6: Final answer
    x = 294,525.41

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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.