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Finding the Third Proportional to 19,864 and 29,188

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Solution

The third proportional to 19,864 and 29,188 is: 42,888.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,864 : 29,188 = 29,188 : x
  2. Step 2: Convert to fraction form
    19,864/29,188 = 29,188/x
  3. Step 3: Cross multiply
    19,864x = 29,188 × 29,188
  4. Step 4: Simplify right side
    19,864x = 851,939,344
  5. Step 5: Solve for x
    x = 851,939,344/19,864
  6. Step 6: Final answer
    x = 42,888.61

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.