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Finding the Third Proportional to 336.72 and 535.47

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Solution

The third proportional to 336.72 and 535.47 is: 851.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.72 : 535.47 = 535.47 : x
  2. Step 2: Convert to fraction form
    336.72/535.47 = 535.47/x
  3. Step 3: Cross multiply
    336.72x = 535.47 × 535.47
  4. Step 4: Simplify right side
    336.72x = 286,726.78
  5. Step 5: Solve for x
    x = 286,726.78/336.72
  6. Step 6: Final answer
    x = 851.53

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.