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Finding the Third Proportional to 336.23 and 519.33

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Solution

The third proportional to 336.23 and 519.33 is: 802.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.23 : 519.33 = 519.33 : x
  2. Step 2: Convert to fraction form
    336.23/519.33 = 519.33/x
  3. Step 3: Cross multiply
    336.23x = 519.33 × 519.33
  4. Step 4: Simplify right side
    336.23x = 269,701.70
  5. Step 5: Solve for x
    x = 269,701.70/336.23
  6. Step 6: Final answer
    x = 802.12

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.