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Finding the Third Proportional to 811.50 and 1,774.13

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Solution

The third proportional to 811.50 and 1,774.13 is: 3,878.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.50 : 1,774.13 = 1,774.13 : x
  2. Step 2: Convert to fraction form
    811.50/1,774.13 = 1,774.13/x
  3. Step 3: Cross multiply
    811.50x = 1,774.13 × 1,774.13
  4. Step 4: Simplify right side
    811.50x = 3,147,519.52
  5. Step 5: Solve for x
    x = 3,147,519.52/811.50
  6. Step 6: Final answer
    x = 3,878.64

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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.