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Finding the Third Proportional to 31,035 and 66,990

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Solution

The third proportional to 31,035 and 66,990 is: 144,599.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,035 : 66,990 = 66,990 : x
  2. Step 2: Convert to fraction form
    31,035/66,990 = 66,990/x
  3. Step 3: Cross multiply
    31,035x = 66,990 × 66,990
  4. Step 4: Simplify right side
    31,035x = 4,487,660,100
  5. Step 5: Solve for x
    x = 4,487,660,100/31,035
  6. Step 6: Final answer
    x = 144,599.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.