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Finding the Third Proportional to 314.13 and 684.50

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Solution

The third proportional to 314.13 and 684.50 is: 1,491.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.13 : 684.50 = 684.50 : x
  2. Step 2: Convert to fraction form
    314.13/684.50 = 684.50/x
  3. Step 3: Cross multiply
    314.13x = 684.50 × 684.50
  4. Step 4: Simplify right side
    314.13x = 468,540.25
  5. Step 5: Solve for x
    x = 468,540.25/314.13
  6. Step 6: Final answer
    x = 1,491.57

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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.