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Finding the Third Proportional to 815.89 and 1,724.80

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Solution

The third proportional to 815.89 and 1,724.80 is: 3,646.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.89 : 1,724.80 = 1,724.80 : x
  2. Step 2: Convert to fraction form
    815.89/1,724.80 = 1,724.80/x
  3. Step 3: Cross multiply
    815.89x = 1,724.80 × 1,724.80
  4. Step 4: Simplify right side
    815.89x = 2,974,924.26
  5. Step 5: Solve for x
    x = 2,974,924.26/815.89
  6. Step 6: Final answer
    x = 3,646.23

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.