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Finding the Third Proportional to 90,718 and 191,520

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Solution

The third proportional to 90,718 and 191,520 is: 404,328.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,718 : 191,520 = 191,520 : x
  2. Step 2: Convert to fraction form
    90,718/191,520 = 191,520/x
  3. Step 3: Cross multiply
    90,718x = 191,520 × 191,520
  4. Step 4: Simplify right side
    90,718x = 36,679,910,400
  5. Step 5: Solve for x
    x = 36,679,910,400/90,718
  6. Step 6: Final answer
    x = 404,328.91

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.