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Finding the Third Proportional to 811.69 and 1,778.63

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Solution

The third proportional to 811.69 and 1,778.63 is: 3,897.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.69 : 1,778.63 = 1,778.63 : x
  2. Step 2: Convert to fraction form
    811.69/1,778.63 = 1,778.63/x
  3. Step 3: Cross multiply
    811.69x = 1,778.63 × 1,778.63
  4. Step 4: Simplify right side
    811.69x = 3,163,506.89
  5. Step 5: Solve for x
    x = 3,163,506.89/811.69
  6. Step 6: Final answer
    x = 3,897.44

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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.