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Finding the Third Proportional to 3,143.81 and 6,545.91

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Solution

The third proportional to 3,143.81 and 6,545.91 is: 13,629.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.81 : 6,545.91 = 6,545.91 : x
  2. Step 2: Convert to fraction form
    3,143.81/6,545.91 = 6,545.91/x
  3. Step 3: Cross multiply
    3,143.81x = 6,545.91 × 6,545.91
  4. Step 4: Simplify right side
    3,143.81x = 42,848,888.63
  5. Step 5: Solve for x
    x = 42,848,888.63/3,143.81
  6. Step 6: Final answer
    x = 13,629.59

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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.