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Finding the Third Proportional to 811.58 and 1,777.65

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Solution

The third proportional to 811.58 and 1,777.65 is: 3,893.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.58 : 1,777.65 = 1,777.65 : x
  2. Step 2: Convert to fraction form
    811.58/1,777.65 = 1,777.65/x
  3. Step 3: Cross multiply
    811.58x = 1,777.65 × 1,777.65
  4. Step 4: Simplify right side
    811.58x = 3,160,037.44
  5. Step 5: Solve for x
    x = 3,160,037.44/811.58
  6. Step 6: Final answer
    x = 3,893.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.