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Finding the Third Proportional to 316.50 and 677.63

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Solution

The third proportional to 316.50 and 677.63 is: 1,450.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.50 : 677.63 = 677.63 : x
  2. Step 2: Convert to fraction form
    316.50/677.63 = 677.63/x
  3. Step 3: Cross multiply
    316.50x = 677.63 × 677.63
  4. Step 4: Simplify right side
    316.50x = 459,175.64
  5. Step 5: Solve for x
    x = 459,175.64/316.50
  6. Step 6: Final answer
    x = 1,450.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.