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Finding the Third Proportional to 3,138.19 and 6,822.56

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Solution

The third proportional to 3,138.19 and 6,822.56 is: 14,832.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.19 : 6,822.56 = 6,822.56 : x
  2. Step 2: Convert to fraction form
    3,138.19/6,822.56 = 6,822.56/x
  3. Step 3: Cross multiply
    3,138.19x = 6,822.56 × 6,822.56
  4. Step 4: Simplify right side
    3,138.19x = 46,547,359.07
  5. Step 5: Solve for x
    x = 46,547,359.07/3,138.19
  6. Step 6: Final answer
    x = 14,832.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.