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Finding the Third Proportional to 811.71 and 1,751.58

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Solution

The third proportional to 811.71 and 1,751.58 is: 3,779.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.71 : 1,751.58 = 1,751.58 : x
  2. Step 2: Convert to fraction form
    811.71/1,751.58 = 1,751.58/x
  3. Step 3: Cross multiply
    811.71x = 1,751.58 × 1,751.58
  4. Step 4: Simplify right side
    811.71x = 3,068,025.93
  5. Step 5: Solve for x
    x = 3,068,025.93/811.71
  6. Step 6: Final answer
    x = 3,779.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.