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Finding the Third Proportional to 340.19 and 769.38

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Solution

The third proportional to 340.19 and 769.38 is: 1,740.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.19 : 769.38 = 769.38 : x
  2. Step 2: Convert to fraction form
    340.19/769.38 = 769.38/x
  3. Step 3: Cross multiply
    340.19x = 769.38 × 769.38
  4. Step 4: Simplify right side
    340.19x = 591,937.89
  5. Step 5: Solve for x
    x = 591,937.89/340.19
  6. Step 6: Final answer
    x = 1,740.03

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.