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Finding the Third Proportional to 115,195 and 180,317

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Solution

The third proportional to 115,195 and 180,317 is: 282,253.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,195 : 180,317 = 180,317 : x
  2. Step 2: Convert to fraction form
    115,195/180,317 = 180,317/x
  3. Step 3: Cross multiply
    115,195x = 180,317 × 180,317
  4. Step 4: Simplify right side
    115,195x = 32,514,220,489
  5. Step 5: Solve for x
    x = 32,514,220,489/115,195
  6. Step 6: Final answer
    x = 282,253.75

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.