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Finding the Third Proportional to 5,140.88 and 10,685.44

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Solution

The third proportional to 5,140.88 and 10,685.44 is: 22,209.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,140.88 : 10,685.44 = 10,685.44 : x
  2. Step 2: Convert to fraction form
    5,140.88/10,685.44 = 10,685.44/x
  3. Step 3: Cross multiply
    5,140.88x = 10,685.44 × 10,685.44
  4. Step 4: Simplify right side
    5,140.88x = 114,178,574.57
  5. Step 5: Solve for x
    x = 114,178,574.57/5,140.88
  6. Step 6: Final answer
    x = 22,209.95

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.