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Finding the Third Proportional to 6,988.78 and 9,956.67

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Solution

The third proportional to 6,988.78 and 9,956.67 is: 14,184.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,988.78 : 9,956.67 = 9,956.67 : x
  2. Step 2: Convert to fraction form
    6,988.78/9,956.67 = 9,956.67/x
  3. Step 3: Cross multiply
    6,988.78x = 9,956.67 × 9,956.67
  4. Step 4: Simplify right side
    6,988.78x = 99,135,314.83
  5. Step 5: Solve for x
    x = 99,135,314.83/6,988.78
  6. Step 6: Final answer
    x = 14,184.92

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.