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Finding the Third Proportional to 39,875 and 83,881

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Solution

The third proportional to 39,875 and 83,881 is: 176,451.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,875 : 83,881 = 83,881 : x
  2. Step 2: Convert to fraction form
    39,875/83,881 = 83,881/x
  3. Step 3: Cross multiply
    39,875x = 83,881 × 83,881
  4. Step 4: Simplify right side
    39,875x = 7,036,022,161
  5. Step 5: Solve for x
    x = 7,036,022,161/39,875
  6. Step 6: Final answer
    x = 176,451.97

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.