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Finding the Third Proportional to 339.47 and 699.05

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Solution

The third proportional to 339.47 and 699.05 is: 1,439.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.47 : 699.05 = 699.05 : x
  2. Step 2: Convert to fraction form
    339.47/699.05 = 699.05/x
  3. Step 3: Cross multiply
    339.47x = 699.05 × 699.05
  4. Step 4: Simplify right side
    339.47x = 488,666.53
  5. Step 5: Solve for x
    x = 488,666.53/339.47
  6. Step 6: Final answer
    x = 1,439.50

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.