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Finding the Third Proportional to 809.71 and 1,765.99

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Solution

The third proportional to 809.71 and 1,765.99 is: 3,851.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.71 : 1,765.99 = 1,765.99 : x
  2. Step 2: Convert to fraction form
    809.71/1,765.99 = 1,765.99/x
  3. Step 3: Cross multiply
    809.71x = 1,765.99 × 1,765.99
  4. Step 4: Simplify right side
    809.71x = 3,118,727.11
  5. Step 5: Solve for x
    x = 3,118,727.11/809.71
  6. Step 6: Final answer
    x = 3,851.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.