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Finding the Third Proportional to 122,624 and 189,942

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Solution

The third proportional to 122,624 and 189,942 is: 294,216.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,624 : 189,942 = 189,942 : x
  2. Step 2: Convert to fraction form
    122,624/189,942 = 189,942/x
  3. Step 3: Cross multiply
    122,624x = 189,942 × 189,942
  4. Step 4: Simplify right side
    122,624x = 36,077,963,364
  5. Step 5: Solve for x
    x = 36,077,963,364/122,624
  6. Step 6: Final answer
    x = 294,216.17

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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.