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Finding the Third Proportional to 122,938 and 189,865

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Solution

The third proportional to 122,938 and 189,865 is: 293,226.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,938 : 189,865 = 189,865 : x
  2. Step 2: Convert to fraction form
    122,938/189,865 = 189,865/x
  3. Step 3: Cross multiply
    122,938x = 189,865 × 189,865
  4. Step 4: Simplify right side
    122,938x = 36,048,718,225
  5. Step 5: Solve for x
    x = 36,048,718,225/122,938
  6. Step 6: Final answer
    x = 293,226.82

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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.