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Finding the Third Proportional to 31,290 and 68,087

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Solution

The third proportional to 31,290 and 68,087 is: 148,157.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,290 : 68,087 = 68,087 : x
  2. Step 2: Convert to fraction form
    31,290/68,087 = 68,087/x
  3. Step 3: Cross multiply
    31,290x = 68,087 × 68,087
  4. Step 4: Simplify right side
    31,290x = 4,635,839,569
  5. Step 5: Solve for x
    x = 4,635,839,569/31,290
  6. Step 6: Final answer
    x = 148,157.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.