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Finding the Third Proportional to 87,335 and 188,615

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Solution

The third proportional to 87,335 and 188,615 is: 407,346.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,335 : 188,615 = 188,615 : x
  2. Step 2: Convert to fraction form
    87,335/188,615 = 188,615/x
  3. Step 3: Cross multiply
    87,335x = 188,615 × 188,615
  4. Step 4: Simplify right side
    87,335x = 35,575,618,225
  5. Step 5: Solve for x
    x = 35,575,618,225/87,335
  6. Step 6: Final answer
    x = 407,346.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.