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Finding the Third Proportional to 87,420.75 and 191,973

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Solution

The third proportional to 87,420.75 and 191,973 is: 421,566.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,420.75 : 191,973 = 191,973 : x
  2. Step 2: Convert to fraction form
    87,420.75/191,973 = 191,973/x
  3. Step 3: Cross multiply
    87,420.75x = 191,973 × 191,973
  4. Step 4: Simplify right side
    87,420.75x = 36,853,632,729
  5. Step 5: Solve for x
    x = 36,853,632,729/87,420.75
  6. Step 6: Final answer
    x = 421,566.19

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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.