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Finding the Third Proportional to 34,270 and 54,685

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Solution

The third proportional to 34,270 and 54,685 is: 87,261.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,270 : 54,685 = 54,685 : x
  2. Step 2: Convert to fraction form
    34,270/54,685 = 54,685/x
  3. Step 3: Cross multiply
    34,270x = 54,685 × 54,685
  4. Step 4: Simplify right side
    34,270x = 2,990,449,225
  5. Step 5: Solve for x
    x = 2,990,449,225/34,270
  6. Step 6: Final answer
    x = 87,261.43

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.