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Finding the Third Proportional to 87,985 and 191,851

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Solution

The third proportional to 87,985 and 191,851 is: 418,330.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,985 : 191,851 = 191,851 : x
  2. Step 2: Convert to fraction form
    87,985/191,851 = 191,851/x
  3. Step 3: Cross multiply
    87,985x = 191,851 × 191,851
  4. Step 4: Simplify right side
    87,985x = 36,806,806,201
  5. Step 5: Solve for x
    x = 36,806,806,201/87,985
  6. Step 6: Final answer
    x = 418,330.47

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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.