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Finding the Third Proportional to 314.86 and 505.41

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Solution

The third proportional to 314.86 and 505.41 is: 811.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.86 : 505.41 = 505.41 : x
  2. Step 2: Convert to fraction form
    314.86/505.41 = 505.41/x
  3. Step 3: Cross multiply
    314.86x = 505.41 × 505.41
  4. Step 4: Simplify right side
    314.86x = 255,435.48
  5. Step 5: Solve for x
    x = 255,435.48/314.86
  6. Step 6: Final answer
    x = 811.27

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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.