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Finding the Third Proportional to 815.70 and 1,777.57

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Solution

The third proportional to 815.70 and 1,777.57 is: 3,873.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.70 : 1,777.57 = 1,777.57 : x
  2. Step 2: Convert to fraction form
    815.70/1,777.57 = 1,777.57/x
  3. Step 3: Cross multiply
    815.70x = 1,777.57 × 1,777.57
  4. Step 4: Simplify right side
    815.70x = 3,159,756.22
  5. Step 5: Solve for x
    x = 3,159,756.22/815.70
  6. Step 6: Final answer
    x = 3,873.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.