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Finding the Third Proportional to 87,615 and 133,155

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Solution

The third proportional to 87,615 and 133,155 is: 202,365.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,615 : 133,155 = 133,155 : x
  2. Step 2: Convert to fraction form
    87,615/133,155 = 133,155/x
  3. Step 3: Cross multiply
    87,615x = 133,155 × 133,155
  4. Step 4: Simplify right side
    87,615x = 17,730,254,025
  5. Step 5: Solve for x
    x = 17,730,254,025/87,615
  6. Step 6: Final answer
    x = 202,365.51

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.