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Finding the Third Proportional to 811.64 and 1,759.92

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Solution

The third proportional to 811.64 and 1,759.92 is: 3,816.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.64 : 1,759.92 = 1,759.92 : x
  2. Step 2: Convert to fraction form
    811.64/1,759.92 = 1,759.92/x
  3. Step 3: Cross multiply
    811.64x = 1,759.92 × 1,759.92
  4. Step 4: Simplify right side
    811.64x = 3,097,325.01
  5. Step 5: Solve for x
    x = 3,097,325.01/811.64
  6. Step 6: Final answer
    x = 3,816.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.