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Finding the Third Proportional to 122,760 and 189,564

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Solution

The third proportional to 122,760 and 189,564 is: 292,721.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,760 : 189,564 = 189,564 : x
  2. Step 2: Convert to fraction form
    122,760/189,564 = 189,564/x
  3. Step 3: Cross multiply
    122,760x = 189,564 × 189,564
  4. Step 4: Simplify right side
    122,760x = 35,934,510,096
  5. Step 5: Solve for x
    x = 35,934,510,096/122,760
  6. Step 6: Final answer
    x = 292,721.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.