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Finding the Third Proportional to 87,584 and 193,888

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Solution

The third proportional to 87,584 and 193,888 is: 429,217.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,584 : 193,888 = 193,888 : x
  2. Step 2: Convert to fraction form
    87,584/193,888 = 193,888/x
  3. Step 3: Cross multiply
    87,584x = 193,888 × 193,888
  4. Step 4: Simplify right side
    87,584x = 37,592,556,544
  5. Step 5: Solve for x
    x = 37,592,556,544/87,584
  6. Step 6: Final answer
    x = 429,217.17

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.