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Finding the Third Proportional to 665.25 and 1,363.63

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Solution

The third proportional to 665.25 and 1,363.63 is: 2,795.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.25 : 1,363.63 = 1,363.63 : x
  2. Step 2: Convert to fraction form
    665.25/1,363.63 = 1,363.63/x
  3. Step 3: Cross multiply
    665.25x = 1,363.63 × 1,363.63
  4. Step 4: Simplify right side
    665.25x = 1,859,473.14
  5. Step 5: Solve for x
    x = 1,859,473.14/665.25
  6. Step 6: Final answer
    x = 2,795.15

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.