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Finding the Third Proportional to 38,107 and 51,405

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Solution

The third proportional to 38,107 and 51,405 is: 69,343.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,107 : 51,405 = 51,405 : x
  2. Step 2: Convert to fraction form
    38,107/51,405 = 51,405/x
  3. Step 3: Cross multiply
    38,107x = 51,405 × 51,405
  4. Step 4: Simplify right side
    38,107x = 2,642,474,025
  5. Step 5: Solve for x
    x = 2,642,474,025/38,107
  6. Step 6: Final answer
    x = 69,343.53

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.