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Finding the Third Proportional to 39,872 and 83,875

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Solution

The third proportional to 39,872 and 83,875 is: 176,440.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,872 : 83,875 = 83,875 : x
  2. Step 2: Convert to fraction form
    39,872/83,875 = 83,875/x
  3. Step 3: Cross multiply
    39,872x = 83,875 × 83,875
  4. Step 4: Simplify right side
    39,872x = 7,035,015,625
  5. Step 5: Solve for x
    x = 7,035,015,625/39,872
  6. Step 6: Final answer
    x = 176,440.00

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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.