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Finding the Third Proportional to 641.36 and 1,134.63

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Solution

The third proportional to 641.36 and 1,134.63 is: 2,007.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.36 : 1,134.63 = 1,134.63 : x
  2. Step 2: Convert to fraction form
    641.36/1,134.63 = 1,134.63/x
  3. Step 3: Cross multiply
    641.36x = 1,134.63 × 1,134.63
  4. Step 4: Simplify right side
    641.36x = 1,287,391.62
  5. Step 5: Solve for x
    x = 1,287,391.62/641.36
  6. Step 6: Final answer
    x = 2,007.30

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.