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Finding the Third Proportional to 340.69 and 377.06

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Solution

The third proportional to 340.69 and 377.06 is: 417.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.69 : 377.06 = 377.06 : x
  2. Step 2: Convert to fraction form
    340.69/377.06 = 377.06/x
  3. Step 3: Cross multiply
    340.69x = 377.06 × 377.06
  4. Step 4: Simplify right side
    340.69x = 142,176.13
  5. Step 5: Solve for x
    x = 142,176.13/340.69
  6. Step 6: Final answer
    x = 417.32

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.