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Finding the Third Proportional to 687.94 and 1,478.81

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Solution

The third proportional to 687.94 and 1,478.81 is: 3,178.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.94 : 1,478.81 = 1,478.81 : x
  2. Step 2: Convert to fraction form
    687.94/1,478.81 = 1,478.81/x
  3. Step 3: Cross multiply
    687.94x = 1,478.81 × 1,478.81
  4. Step 4: Simplify right side
    687.94x = 2,186,886.41
  5. Step 5: Solve for x
    x = 2,186,886.41/687.94
  6. Step 6: Final answer
    x = 3,178.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.