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Finding the Third Proportional to 68,437 and 102,379

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Solution

The third proportional to 68,437 and 102,379 is: 153,154.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,437 : 102,379 = 102,379 : x
  2. Step 2: Convert to fraction form
    68,437/102,379 = 102,379/x
  3. Step 3: Cross multiply
    68,437x = 102,379 × 102,379
  4. Step 4: Simplify right side
    68,437x = 10,481,459,641
  5. Step 5: Solve for x
    x = 10,481,459,641/68,437
  6. Step 6: Final answer
    x = 153,154.87

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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.