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Finding the Third Proportional to 813.25 and 1,293.88

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Solution

The third proportional to 813.25 and 1,293.88 is: 2,058.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.25 : 1,293.88 = 1,293.88 : x
  2. Step 2: Convert to fraction form
    813.25/1,293.88 = 1,293.88/x
  3. Step 3: Cross multiply
    813.25x = 1,293.88 × 1,293.88
  4. Step 4: Simplify right side
    813.25x = 1,674,112.52
  5. Step 5: Solve for x
    x = 1,674,112.52/813.25
  6. Step 6: Final answer
    x = 2,058.55

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.