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Finding the Third Proportional to 1,280.81 and 3,126.09

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Solution

The third proportional to 1,280.81 and 3,126.09 is: 7,629.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.81 : 3,126.09 = 3,126.09 : x
  2. Step 2: Convert to fraction form
    1,280.81/3,126.09 = 3,126.09/x
  3. Step 3: Cross multiply
    1,280.81x = 3,126.09 × 3,126.09
  4. Step 4: Simplify right side
    1,280.81x = 9,772,462.13
  5. Step 5: Solve for x
    x = 9,772,462.13/1,280.81
  6. Step 6: Final answer
    x = 7,629.89

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Why These Related Problems?

These problems maintain the same ratio (2.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.