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Finding the Third Proportional to 310.69 and 665.44

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Solution

The third proportional to 310.69 and 665.44 is: 1,425.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.69 : 665.44 = 665.44 : x
  2. Step 2: Convert to fraction form
    310.69/665.44 = 665.44/x
  3. Step 3: Cross multiply
    310.69x = 665.44 × 665.44
  4. Step 4: Simplify right side
    310.69x = 442,807.07
  5. Step 5: Solve for x
    x = 442,807.07/310.69
  6. Step 6: Final answer
    x = 1,425.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.