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Finding the Third Proportional to 687.30 and 1,340.23

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Solution

The third proportional to 687.30 and 1,340.23 is: 2,613.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.30 : 1,340.23 = 1,340.23 : x
  2. Step 2: Convert to fraction form
    687.30/1,340.23 = 1,340.23/x
  3. Step 3: Cross multiply
    687.30x = 1,340.23 × 1,340.23
  4. Step 4: Simplify right side
    687.30x = 1,796,207.24
  5. Step 5: Solve for x
    x = 1,796,207.24/687.30
  6. Step 6: Final answer
    x = 2,613.41

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.