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Finding the Third Proportional to 631.63 and 1,383.63

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Solution

The third proportional to 631.63 and 1,383.63 is: 3,030.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.63 : 1,383.63 = 1,383.63 : x
  2. Step 2: Convert to fraction form
    631.63/1,383.63 = 1,383.63/x
  3. Step 3: Cross multiply
    631.63x = 1,383.63 × 1,383.63
  4. Step 4: Simplify right side
    631.63x = 1,914,418.14
  5. Step 5: Solve for x
    x = 1,914,418.14/631.63
  6. Step 6: Final answer
    x = 3,030.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.