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Finding the Third Proportional to 68,444 and 102,387

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Solution

The third proportional to 68,444 and 102,387 is: 153,163.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,444 : 102,387 = 102,387 : x
  2. Step 2: Convert to fraction form
    68,444/102,387 = 102,387/x
  3. Step 3: Cross multiply
    68,444x = 102,387 × 102,387
  4. Step 4: Simplify right side
    68,444x = 10,483,097,769
  5. Step 5: Solve for x
    x = 10,483,097,769/68,444
  6. Step 6: Final answer
    x = 153,163.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.