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Finding the Third Proportional to 90,475 and 191,157

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Solution

The third proportional to 90,475 and 191,157 is: 403,879.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,475 : 191,157 = 191,157 : x
  2. Step 2: Convert to fraction form
    90,475/191,157 = 191,157/x
  3. Step 3: Cross multiply
    90,475x = 191,157 × 191,157
  4. Step 4: Simplify right side
    90,475x = 36,540,998,649
  5. Step 5: Solve for x
    x = 36,540,998,649/90,475
  6. Step 6: Final answer
    x = 403,879.51

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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.