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Finding the Third Proportional to 42,221.75 and 90,343

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Solution

The third proportional to 42,221.75 and 90,343 is: 193,309.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,221.75 : 90,343 = 90,343 : x
  2. Step 2: Convert to fraction form
    42,221.75/90,343 = 90,343/x
  3. Step 3: Cross multiply
    42,221.75x = 90,343 × 90,343
  4. Step 4: Simplify right side
    42,221.75x = 8,161,857,649
  5. Step 5: Solve for x
    x = 8,161,857,649/42,221.75
  6. Step 6: Final answer
    x = 193,309.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.