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Finding the Third Proportional to 843.38 and 1,276.31

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Solution

The third proportional to 843.38 and 1,276.31 is: 1,931.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.38 : 1,276.31 = 1,276.31 : x
  2. Step 2: Convert to fraction form
    843.38/1,276.31 = 1,276.31/x
  3. Step 3: Cross multiply
    843.38x = 1,276.31 × 1,276.31
  4. Step 4: Simplify right side
    843.38x = 1,628,973.60
  5. Step 5: Solve for x
    x = 1,628,973.60/843.38
  6. Step 6: Final answer
    x = 1,931.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.