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Finding the Third Proportional to 121,578 and 189,750

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Solution

The third proportional to 121,578 and 189,750 is: 296,147.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,578 : 189,750 = 189,750 : x
  2. Step 2: Convert to fraction form
    121,578/189,750 = 189,750/x
  3. Step 3: Cross multiply
    121,578x = 189,750 × 189,750
  4. Step 4: Simplify right side
    121,578x = 36,005,062,500
  5. Step 5: Solve for x
    x = 36,005,062,500/121,578
  6. Step 6: Final answer
    x = 296,147.84

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.