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Finding the Third Proportional to 339.52 and 743.95

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Solution

The third proportional to 339.52 and 743.95 is: 1,630.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.52 : 743.95 = 743.95 : x
  2. Step 2: Convert to fraction form
    339.52/743.95 = 743.95/x
  3. Step 3: Cross multiply
    339.52x = 743.95 × 743.95
  4. Step 4: Simplify right side
    339.52x = 553,466.25
  5. Step 5: Solve for x
    x = 553,466.25/339.52
  6. Step 6: Final answer
    x = 1,630.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.