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Finding the Third Proportional to 39,984 and 84,888

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Solution

The third proportional to 39,984 and 84,888 is: 180,221.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,984 : 84,888 = 84,888 : x
  2. Step 2: Convert to fraction form
    39,984/84,888 = 84,888/x
  3. Step 3: Cross multiply
    39,984x = 84,888 × 84,888
  4. Step 4: Simplify right side
    39,984x = 7,205,972,544
  5. Step 5: Solve for x
    x = 7,205,972,544/39,984
  6. Step 6: Final answer
    x = 180,221.40

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.