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Finding the Third Proportional to 67,382 and 105,387

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Solution

The third proportional to 67,382 and 105,387 is: 164,827.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,382 : 105,387 = 105,387 : x
  2. Step 2: Convert to fraction form
    67,382/105,387 = 105,387/x
  3. Step 3: Cross multiply
    67,382x = 105,387 × 105,387
  4. Step 4: Simplify right side
    67,382x = 11,106,419,769
  5. Step 5: Solve for x
    x = 11,106,419,769/67,382
  6. Step 6: Final answer
    x = 164,827.70

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.