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Finding the Third Proportional to 68,218 and 103,387

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Solution

The third proportional to 68,218 and 103,387 is: 156,686.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,218 : 103,387 = 103,387 : x
  2. Step 2: Convert to fraction form
    68,218/103,387 = 103,387/x
  3. Step 3: Cross multiply
    68,218x = 103,387 × 103,387
  4. Step 4: Simplify right side
    68,218x = 10,688,871,769
  5. Step 5: Solve for x
    x = 10,688,871,769/68,218
  6. Step 6: Final answer
    x = 156,686.97

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.