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Finding the Third Proportional to 336.69 and 519.84

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Solution

The third proportional to 336.69 and 519.84 is: 802.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.69 : 519.84 = 519.84 : x
  2. Step 2: Convert to fraction form
    336.69/519.84 = 519.84/x
  3. Step 3: Cross multiply
    336.69x = 519.84 × 519.84
  4. Step 4: Simplify right side
    336.69x = 270,237.52
  5. Step 5: Solve for x
    x = 270,237.52/336.69
  6. Step 6: Final answer
    x = 802.64

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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.