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Finding the Third Proportional to 809.53 and 1,748.30

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Solution

The third proportional to 809.53 and 1,748.30 is: 3,775.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.53 : 1,748.30 = 1,748.30 : x
  2. Step 2: Convert to fraction form
    809.53/1,748.30 = 1,748.30/x
  3. Step 3: Cross multiply
    809.53x = 1,748.30 × 1,748.30
  4. Step 4: Simplify right side
    809.53x = 3,056,541.96
  5. Step 5: Solve for x
    x = 3,056,541.96/809.53
  6. Step 6: Final answer
    x = 3,775.69

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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.