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Finding the Third Proportional to 39,366 and 87,399

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Solution

The third proportional to 39,366 and 87,399 is: 194,040.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,366 : 87,399 = 87,399 : x
  2. Step 2: Convert to fraction form
    39,366/87,399 = 87,399/x
  3. Step 3: Cross multiply
    39,366x = 87,399 × 87,399
  4. Step 4: Simplify right side
    39,366x = 7,638,585,201
  5. Step 5: Solve for x
    x = 7,638,585,201/39,366
  6. Step 6: Final answer
    x = 194,040.17

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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.