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Finding the Third Proportional to 333 and 509.91

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Solution

The third proportional to 333 and 509.91 is: 780.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    333 : 509.91 = 509.91 : x
  2. Step 2: Convert to fraction form
    333/509.91 = 509.91/x
  3. Step 3: Cross multiply
    333x = 509.91 × 509.91
  4. Step 4: Simplify right side
    333x = 260,004.38
  5. Step 5: Solve for x
    x = 260,004.38/333
  6. Step 6: Final answer
    x = 780.79

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.