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Finding the Third Proportional to 87,284 and 190,122

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Solution

The third proportional to 87,284 and 190,122 is: 414,123.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,284 : 190,122 = 190,122 : x
  2. Step 2: Convert to fraction form
    87,284/190,122 = 190,122/x
  3. Step 3: Cross multiply
    87,284x = 190,122 × 190,122
  4. Step 4: Simplify right side
    87,284x = 36,146,374,884
  5. Step 5: Solve for x
    x = 36,146,374,884/87,284
  6. Step 6: Final answer
    x = 414,123.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.