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Finding the Third Proportional to 315.93 and 667.93

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Solution

The third proportional to 315.93 and 667.93 is: 1,412.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.93 : 667.93 = 667.93 : x
  2. Step 2: Convert to fraction form
    315.93/667.93 = 667.93/x
  3. Step 3: Cross multiply
    315.93x = 667.93 × 667.93
  4. Step 4: Simplify right side
    315.93x = 446,135.29
  5. Step 5: Solve for x
    x = 446,135.29/315.93
  6. Step 6: Final answer
    x = 1,412.13

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.