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Finding the Third Proportional to 315.84 and 506.11

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Solution

The third proportional to 315.84 and 506.11 is: 810.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.84 : 506.11 = 506.11 : x
  2. Step 2: Convert to fraction form
    315.84/506.11 = 506.11/x
  3. Step 3: Cross multiply
    315.84x = 506.11 × 506.11
  4. Step 4: Simplify right side
    315.84x = 256,146.70
  5. Step 5: Solve for x
    x = 256,146.70/315.84
  6. Step 6: Final answer
    x = 810.99

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.