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Finding the Third Proportional to 318.73 and 669.73

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Solution

The third proportional to 318.73 and 669.73 is: 1,407.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.73 : 669.73 = 669.73 : x
  2. Step 2: Convert to fraction form
    318.73/669.73 = 669.73/x
  3. Step 3: Cross multiply
    318.73x = 669.73 × 669.73
  4. Step 4: Simplify right side
    318.73x = 448,533.67
  5. Step 5: Solve for x
    x = 448,533.67/318.73
  6. Step 6: Final answer
    x = 1,407.27

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.