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Finding the Third Proportional to 810.91 and 1,751.58

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Solution

The third proportional to 810.91 and 1,751.58 is: 3,783.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.91 : 1,751.58 = 1,751.58 : x
  2. Step 2: Convert to fraction form
    810.91/1,751.58 = 1,751.58/x
  3. Step 3: Cross multiply
    810.91x = 1,751.58 × 1,751.58
  4. Step 4: Simplify right side
    810.91x = 3,068,016.95
  5. Step 5: Solve for x
    x = 3,068,016.95/810.91
  6. Step 6: Final answer
    x = 3,783.40

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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.