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Finding the Third Proportional to 12,960.88 and 20,672.13

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Solution

The third proportional to 12,960.88 and 20,672.13 is: 32,971.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,960.88 : 20,672.13 = 20,672.13 : x
  2. Step 2: Convert to fraction form
    12,960.88/20,672.13 = 20,672.13/x
  3. Step 3: Cross multiply
    12,960.88x = 20,672.13 × 20,672.13
  4. Step 4: Simplify right side
    12,960.88x = 427,336,752.02
  5. Step 5: Solve for x
    x = 427,336,752.02/12,960.88
  6. Step 6: Final answer
    x = 32,971.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.