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Finding the Third Proportional to 4,120 and 8,700

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Solution

The third proportional to 4,120 and 8,700 is: 18,371.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,120 : 8,700 = 8,700 : x
  2. Step 2: Convert to fraction form
    4,120/8,700 = 8,700/x
  3. Step 3: Cross multiply
    4,120x = 8,700 × 8,700
  4. Step 4: Simplify right side
    4,120x = 75,690,000
  5. Step 5: Solve for x
    x = 75,690,000/4,120
  6. Step 6: Final answer
    x = 18,371.36

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.