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Finding the Third Proportional to 19,987 and 43,781

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Solution

The third proportional to 19,987 and 43,781 is: 95,901.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,987 : 43,781 = 43,781 : x
  2. Step 2: Convert to fraction form
    19,987/43,781 = 43,781/x
  3. Step 3: Cross multiply
    19,987x = 43,781 × 43,781
  4. Step 4: Simplify right side
    19,987x = 1,916,775,961
  5. Step 5: Solve for x
    x = 1,916,775,961/19,987
  6. Step 6: Final answer
    x = 95,901.13

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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.