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Finding the Third Proportional to 1,373.34 and 2,910.38

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Solution

The third proportional to 1,373.34 and 2,910.38 is: 6,167.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,373.34 : 2,910.38 = 2,910.38 : x
  2. Step 2: Convert to fraction form
    1,373.34/2,910.38 = 2,910.38/x
  3. Step 3: Cross multiply
    1,373.34x = 2,910.38 × 2,910.38
  4. Step 4: Simplify right side
    1,373.34x = 8,470,282.64
  5. Step 5: Solve for x
    x = 8,470,282.64/1,373.34
  6. Step 6: Final answer
    x = 6,167.63

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.