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Finding the Third Proportional to 122,942 and 189,871

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Solution

The third proportional to 122,942 and 189,871 is: 293,235.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,942 : 189,871 = 189,871 : x
  2. Step 2: Convert to fraction form
    122,942/189,871 = 189,871/x
  3. Step 3: Cross multiply
    122,942x = 189,871 × 189,871
  4. Step 4: Simplify right side
    122,942x = 36,050,996,641
  5. Step 5: Solve for x
    x = 36,050,996,641/122,942
  6. Step 6: Final answer
    x = 293,235.81

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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.