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Finding the Third Proportional to 38,988 and 76,005

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Solution

The third proportional to 38,988 and 76,005 is: 148,167.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,988 : 76,005 = 76,005 : x
  2. Step 2: Convert to fraction form
    38,988/76,005 = 76,005/x
  3. Step 3: Cross multiply
    38,988x = 76,005 × 76,005
  4. Step 4: Simplify right side
    38,988x = 5,776,760,025
  5. Step 5: Solve for x
    x = 5,776,760,025/38,988
  6. Step 6: Final answer
    x = 148,167.64

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.