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Finding the Third Proportional to 377.79 and 503.09

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Solution

The third proportional to 377.79 and 503.09 is: 669.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.79 : 503.09 = 503.09 : x
  2. Step 2: Convert to fraction form
    377.79/503.09 = 503.09/x
  3. Step 3: Cross multiply
    377.79x = 503.09 × 503.09
  4. Step 4: Simplify right side
    377.79x = 253,095.46
  5. Step 5: Solve for x
    x = 253,095.46/377.79
  6. Step 6: Final answer
    x = 669.94

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.