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Finding the Third Proportional to 4,140 and 5,670

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Solution

The third proportional to 4,140 and 5,670 is: 7,765.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,140 : 5,670 = 5,670 : x
  2. Step 2: Convert to fraction form
    4,140/5,670 = 5,670/x
  3. Step 3: Cross multiply
    4,140x = 5,670 × 5,670
  4. Step 4: Simplify right side
    4,140x = 32,148,900
  5. Step 5: Solve for x
    x = 32,148,900/4,140
  6. Step 6: Final answer
    x = 7,765.43

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.