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Finding the Third Proportional to 79,734 and 123,381

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Solution

The third proportional to 79,734 and 123,381 is: 190,920.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,734 : 123,381 = 123,381 : x
  2. Step 2: Convert to fraction form
    79,734/123,381 = 123,381/x
  3. Step 3: Cross multiply
    79,734x = 123,381 × 123,381
  4. Step 4: Simplify right side
    79,734x = 15,222,871,161
  5. Step 5: Solve for x
    x = 15,222,871,161/79,734
  6. Step 6: Final answer
    x = 190,920.70

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.