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Finding the Third Proportional to 40,176 and 87,399

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Solution

The third proportional to 40,176 and 87,399 is: 190,128.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,176 : 87,399 = 87,399 : x
  2. Step 2: Convert to fraction form
    40,176/87,399 = 87,399/x
  3. Step 3: Cross multiply
    40,176x = 87,399 × 87,399
  4. Step 4: Simplify right side
    40,176x = 7,638,585,201
  5. Step 5: Solve for x
    x = 7,638,585,201/40,176
  6. Step 6: Final answer
    x = 190,128.07

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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.