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Finding the Third Proportional to 12,988.75 and 27,964.13

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Solution

The third proportional to 12,988.75 and 27,964.13 is: 60,205.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,988.75 : 27,964.13 = 27,964.13 : x
  2. Step 2: Convert to fraction form
    12,988.75/27,964.13 = 27,964.13/x
  3. Step 3: Cross multiply
    12,988.75x = 27,964.13 × 27,964.13
  4. Step 4: Simplify right side
    12,988.75x = 781,992,287.02
  5. Step 5: Solve for x
    x = 781,992,287.02/12,988.75
  6. Step 6: Final answer
    x = 60,205.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.