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Finding the Third Proportional to 1,237.31 and 2,576.65

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Solution

The third proportional to 1,237.31 and 2,576.65 is: 5,365.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.31 : 2,576.65 = 2,576.65 : x
  2. Step 2: Convert to fraction form
    1,237.31/2,576.65 = 2,576.65/x
  3. Step 3: Cross multiply
    1,237.31x = 2,576.65 × 2,576.65
  4. Step 4: Simplify right side
    1,237.31x = 6,639,117.17
  5. Step 5: Solve for x
    x = 6,639,117.17/1,237.31
  6. Step 6: Final answer
    x = 5,365.76

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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.