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Finding the Third Proportional to 87,196 and 127,684

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Solution

The third proportional to 87,196 and 127,684 is: 186,971.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,196 : 127,684 = 127,684 : x
  2. Step 2: Convert to fraction form
    87,196/127,684 = 127,684/x
  3. Step 3: Cross multiply
    87,196x = 127,684 × 127,684
  4. Step 4: Simplify right side
    87,196x = 16,303,203,856
  5. Step 5: Solve for x
    x = 16,303,203,856/87,196
  6. Step 6: Final answer
    x = 186,971.92

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.