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Finding the Third Proportional to 6,387.19 and 9,912.94

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Solution

The third proportional to 6,387.19 and 9,912.94 is: 15,384.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,387.19 : 9,912.94 = 9,912.94 : x
  2. Step 2: Convert to fraction form
    6,387.19/9,912.94 = 9,912.94/x
  3. Step 3: Cross multiply
    6,387.19x = 9,912.94 × 9,912.94
  4. Step 4: Simplify right side
    6,387.19x = 98,266,329.88
  5. Step 5: Solve for x
    x = 98,266,329.88/6,387.19
  6. Step 6: Final answer
    x = 15,384.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.