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Finding the Third Proportional to 121,594 and 189,771

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Solution

The third proportional to 121,594 and 189,771 is: 296,174.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,594 : 189,771 = 189,771 : x
  2. Step 2: Convert to fraction form
    121,594/189,771 = 189,771/x
  3. Step 3: Cross multiply
    121,594x = 189,771 × 189,771
  4. Step 4: Simplify right side
    121,594x = 36,013,032,441
  5. Step 5: Solve for x
    x = 36,013,032,441/121,594
  6. Step 6: Final answer
    x = 296,174.42

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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.