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Finding the Third Proportional to 6,849.88 and 10,058.75

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Solution

The third proportional to 6,849.88 and 10,058.75 is: 14,770.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,849.88 : 10,058.75 = 10,058.75 : x
  2. Step 2: Convert to fraction form
    6,849.88/10,058.75 = 10,058.75/x
  3. Step 3: Cross multiply
    6,849.88x = 10,058.75 × 10,058.75
  4. Step 4: Simplify right side
    6,849.88x = 101,178,451.56
  5. Step 5: Solve for x
    x = 101,178,451.56/6,849.88
  6. Step 6: Final answer
    x = 14,770.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.