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Finding the Third Proportional to 312.19 and 684.28

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Solution

The third proportional to 312.19 and 684.28 is: 1,499.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.19 : 684.28 = 684.28 : x
  2. Step 2: Convert to fraction form
    312.19/684.28 = 684.28/x
  3. Step 3: Cross multiply
    312.19x = 684.28 × 684.28
  4. Step 4: Simplify right side
    312.19x = 468,240.83
  5. Step 5: Solve for x
    x = 468,240.83/312.19
  6. Step 6: Final answer
    x = 1,499.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.