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Finding the Third Proportional to 39,878 and 87,001

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Solution

The third proportional to 39,878 and 87,001 is: 189,808.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,878 : 87,001 = 87,001 : x
  2. Step 2: Convert to fraction form
    39,878/87,001 = 87,001/x
  3. Step 3: Cross multiply
    39,878x = 87,001 × 87,001
  4. Step 4: Simplify right side
    39,878x = 7,569,174,001
  5. Step 5: Solve for x
    x = 7,569,174,001/39,878
  6. Step 6: Final answer
    x = 189,808.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.