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Finding the Third Proportional to 1,313.48 and 2,031.09

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Solution

The third proportional to 1,313.48 and 2,031.09 is: 3,140.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.48 : 2,031.09 = 2,031.09 : x
  2. Step 2: Convert to fraction form
    1,313.48/2,031.09 = 2,031.09/x
  3. Step 3: Cross multiply
    1,313.48x = 2,031.09 × 2,031.09
  4. Step 4: Simplify right side
    1,313.48x = 4,125,329.92
  5. Step 5: Solve for x
    x = 4,125,329.92/1,313.48
  6. Step 6: Final answer
    x = 3,140.76

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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.