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Finding the Third Proportional to 71,984 and 107,990

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Solution

The third proportional to 71,984 and 107,990 is: 162,006.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,984 : 107,990 = 107,990 : x
  2. Step 2: Convert to fraction form
    71,984/107,990 = 107,990/x
  3. Step 3: Cross multiply
    71,984x = 107,990 × 107,990
  4. Step 4: Simplify right side
    71,984x = 11,661,840,100
  5. Step 5: Solve for x
    x = 11,661,840,100/71,984
  6. Step 6: Final answer
    x = 162,006.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.