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Finding the Third Proportional to 87,315.50 and 191,777

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Solution

The third proportional to 87,315.50 and 191,777 is: 421,212.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,315.50 : 191,777 = 191,777 : x
  2. Step 2: Convert to fraction form
    87,315.50/191,777 = 191,777/x
  3. Step 3: Cross multiply
    87,315.50x = 191,777 × 191,777
  4. Step 4: Simplify right side
    87,315.50x = 36,778,417,729
  5. Step 5: Solve for x
    x = 36,778,417,729/87,315.50
  6. Step 6: Final answer
    x = 421,212.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.