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Finding the Third Proportional to 8,339.84 and 12,988.16

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Solution

The third proportional to 8,339.84 and 12,988.16 is: 20,227.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,339.84 : 12,988.16 = 12,988.16 : x
  2. Step 2: Convert to fraction form
    8,339.84/12,988.16 = 12,988.16/x
  3. Step 3: Cross multiply
    8,339.84x = 12,988.16 × 12,988.16
  4. Step 4: Simplify right side
    8,339.84x = 168,692,304.24
  5. Step 5: Solve for x
    x = 168,692,304.24/8,339.84
  6. Step 6: Final answer
    x = 20,227.29

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.