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Finding the Third Proportional to 328.72 and 505.94

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Solution

The third proportional to 328.72 and 505.94 is: 778.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.72 : 505.94 = 505.94 : x
  2. Step 2: Convert to fraction form
    328.72/505.94 = 505.94/x
  3. Step 3: Cross multiply
    328.72x = 505.94 × 505.94
  4. Step 4: Simplify right side
    328.72x = 255,972.75
  5. Step 5: Solve for x
    x = 255,972.75/328.72
  6. Step 6: Final answer
    x = 778.70

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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.