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Finding the Third Proportional to 643.36 and 833.20

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Solution

The third proportional to 643.36 and 833.20 is: 1,079.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.36 : 833.20 = 833.20 : x
  2. Step 2: Convert to fraction form
    643.36/833.20 = 833.20/x
  3. Step 3: Cross multiply
    643.36x = 833.20 × 833.20
  4. Step 4: Simplify right side
    643.36x = 694,227.45
  5. Step 5: Solve for x
    x = 694,227.45/643.36
  6. Step 6: Final answer
    x = 1,079.07

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.