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Finding the Third Proportional to 313.24 and 677.74

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Solution

The third proportional to 313.24 and 677.74 is: 1,466.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.24 : 677.74 = 677.74 : x
  2. Step 2: Convert to fraction form
    313.24/677.74 = 677.74/x
  3. Step 3: Cross multiply
    313.24x = 677.74 × 677.74
  4. Step 4: Simplify right side
    313.24x = 459,334.47
  5. Step 5: Solve for x
    x = 459,334.47/313.24
  6. Step 6: Final answer
    x = 1,466.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.