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Finding the Third Proportional to 39,540 and 86,378

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Solution

The third proportional to 39,540 and 86,378 is: 188,699.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,540 : 86,378 = 86,378 : x
  2. Step 2: Convert to fraction form
    39,540/86,378 = 86,378/x
  3. Step 3: Cross multiply
    39,540x = 86,378 × 86,378
  4. Step 4: Simplify right side
    39,540x = 7,461,158,884
  5. Step 5: Solve for x
    x = 7,461,158,884/39,540
  6. Step 6: Final answer
    x = 188,699.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.