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Finding the Third Proportional to 1,436.81 and 3,142.69

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Solution

The third proportional to 1,436.81 and 3,142.69 is: 6,873.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,436.81 : 3,142.69 = 3,142.69 : x
  2. Step 2: Convert to fraction form
    1,436.81/3,142.69 = 3,142.69/x
  3. Step 3: Cross multiply
    1,436.81x = 3,142.69 × 3,142.69
  4. Step 4: Simplify right side
    1,436.81x = 9,876,484.72
  5. Step 5: Solve for x
    x = 9,876,484.72/1,436.81
  6. Step 6: Final answer
    x = 6,873.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.