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Finding the Third Proportional to 12,720 and 20,312

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Solution

The third proportional to 12,720 and 20,312 is: 32,435.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,720 : 20,312 = 20,312 : x
  2. Step 2: Convert to fraction form
    12,720/20,312 = 20,312/x
  3. Step 3: Cross multiply
    12,720x = 20,312 × 20,312
  4. Step 4: Simplify right side
    12,720x = 412,577,344
  5. Step 5: Solve for x
    x = 412,577,344/12,720
  6. Step 6: Final answer
    x = 32,435.33

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.