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Finding the Third Proportional to 90,972 and 191,367

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Solution

The third proportional to 90,972 and 191,367 is: 402,556.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,972 : 191,367 = 191,367 : x
  2. Step 2: Convert to fraction form
    90,972/191,367 = 191,367/x
  3. Step 3: Cross multiply
    90,972x = 191,367 × 191,367
  4. Step 4: Simplify right side
    90,972x = 36,621,328,689
  5. Step 5: Solve for x
    x = 36,621,328,689/90,972
  6. Step 6: Final answer
    x = 402,556.05

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.