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Finding the Third Proportional to 312.75 and 503.65

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Solution

The third proportional to 312.75 and 503.65 is: 811.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.75 : 503.65 = 503.65 : x
  2. Step 2: Convert to fraction form
    312.75/503.65 = 503.65/x
  3. Step 3: Cross multiply
    312.75x = 503.65 × 503.65
  4. Step 4: Simplify right side
    312.75x = 253,661.75
  5. Step 5: Solve for x
    x = 253,661.75/312.75
  6. Step 6: Final answer
    x = 811.07

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.