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Finding the Third Proportional to 1,663.31 and 2,576.81

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Solution

The third proportional to 1,663.31 and 2,576.81 is: 3,992.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663.31 : 2,576.81 = 2,576.81 : x
  2. Step 2: Convert to fraction form
    1,663.31/2,576.81 = 2,576.81/x
  3. Step 3: Cross multiply
    1,663.31x = 2,576.81 × 2,576.81
  4. Step 4: Simplify right side
    1,663.31x = 6,639,962.66
  5. Step 5: Solve for x
    x = 6,639,962.66/1,663.31
  6. Step 6: Final answer
    x = 3,992.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.