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Finding the Third Proportional to 8,681.34 and 12,964.85

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Solution

The third proportional to 8,681.34 and 12,964.85 is: 19,361.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,681.34 : 12,964.85 = 12,964.85 : x
  2. Step 2: Convert to fraction form
    8,681.34/12,964.85 = 12,964.85/x
  3. Step 3: Cross multiply
    8,681.34x = 12,964.85 × 12,964.85
  4. Step 4: Simplify right side
    8,681.34x = 168,087,376.04
  5. Step 5: Solve for x
    x = 168,087,376.04/8,681.34
  6. Step 6: Final answer
    x = 19,361.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.