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Finding the Third Proportional to 370.55 and 815.59

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Solution

The third proportional to 370.55 and 815.59 is: 1,795.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.55 : 815.59 = 815.59 : x
  2. Step 2: Convert to fraction form
    370.55/815.59 = 815.59/x
  3. Step 3: Cross multiply
    370.55x = 815.59 × 815.59
  4. Step 4: Simplify right side
    370.55x = 665,181.42
  5. Step 5: Solve for x
    x = 665,181.42/370.55
  6. Step 6: Final answer
    x = 1,795.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.