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Finding the Third Proportional to 19,680 and 43,188

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Solution

The third proportional to 19,680 and 43,188 is: 94,776.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,680 : 43,188 = 43,188 : x
  2. Step 2: Convert to fraction form
    19,680/43,188 = 43,188/x
  3. Step 3: Cross multiply
    19,680x = 43,188 × 43,188
  4. Step 4: Simplify right side
    19,680x = 1,865,203,344
  5. Step 5: Solve for x
    x = 1,865,203,344/19,680
  6. Step 6: Final answer
    x = 94,776.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.