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Finding the Third Proportional to 122,343 and 189,078

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Solution

The third proportional to 122,343 and 189,078 is: 292,215.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,343 : 189,078 = 189,078 : x
  2. Step 2: Convert to fraction form
    122,343/189,078 = 189,078/x
  3. Step 3: Cross multiply
    122,343x = 189,078 × 189,078
  4. Step 4: Simplify right side
    122,343x = 35,750,490,084
  5. Step 5: Solve for x
    x = 35,750,490,084/122,343
  6. Step 6: Final answer
    x = 292,215.25

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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.