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Finding the Third Proportional to 663.05 and 1,309.36

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Solution

The third proportional to 663.05 and 1,309.36 is: 2,585.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.05 : 1,309.36 = 1,309.36 : x
  2. Step 2: Convert to fraction form
    663.05/1,309.36 = 1,309.36/x
  3. Step 3: Cross multiply
    663.05x = 1,309.36 × 1,309.36
  4. Step 4: Simplify right side
    663.05x = 1,714,421.97
  5. Step 5: Solve for x
    x = 1,714,421.97/663.05
  6. Step 6: Final answer
    x = 2,585.67

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.