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Finding the Third Proportional to 39,887 and 86,378

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Solution

The third proportional to 39,887 and 86,378 is: 187,057.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,887 : 86,378 = 86,378 : x
  2. Step 2: Convert to fraction form
    39,887/86,378 = 86,378/x
  3. Step 3: Cross multiply
    39,887x = 86,378 × 86,378
  4. Step 4: Simplify right side
    39,887x = 7,461,158,884
  5. Step 5: Solve for x
    x = 7,461,158,884/39,887
  6. Step 6: Final answer
    x = 187,057.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.