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Finding the Third Proportional to 6,878.36 and 10,332.72

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Solution

The third proportional to 6,878.36 and 10,332.72 is: 15,521.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,878.36 : 10,332.72 = 10,332.72 : x
  2. Step 2: Convert to fraction form
    6,878.36/10,332.72 = 10,332.72/x
  3. Step 3: Cross multiply
    6,878.36x = 10,332.72 × 10,332.72
  4. Step 4: Simplify right side
    6,878.36x = 106,765,117.13
  5. Step 5: Solve for x
    x = 106,765,117.13/6,878.36
  6. Step 6: Final answer
    x = 15,521.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.