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Finding the Third Proportional to 39,369 and 87,378

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Solution

The third proportional to 39,369 and 87,378 is: 193,932.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,369 : 87,378 = 87,378 : x
  2. Step 2: Convert to fraction form
    39,369/87,378 = 87,378/x
  3. Step 3: Cross multiply
    39,369x = 87,378 × 87,378
  4. Step 4: Simplify right side
    39,369x = 7,634,914,884
  5. Step 5: Solve for x
    x = 7,634,914,884/39,369
  6. Step 6: Final answer
    x = 193,932.15

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.