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Finding the Third Proportional to 40,203 and 87,326

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Solution

The third proportional to 40,203 and 87,326 is: 189,683.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,203 : 87,326 = 87,326 : x
  2. Step 2: Convert to fraction form
    40,203/87,326 = 87,326/x
  3. Step 3: Cross multiply
    40,203x = 87,326 × 87,326
  4. Step 4: Simplify right side
    40,203x = 7,625,830,276
  5. Step 5: Solve for x
    x = 7,625,830,276/40,203
  6. Step 6: Final answer
    x = 189,683.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.