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Finding the Third Proportional to 206.30 and 315.77

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Solution

The third proportional to 206.30 and 315.77 is: 483.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.30 : 315.77 = 315.77 : x
  2. Step 2: Convert to fraction form
    206.30/315.77 = 315.77/x
  3. Step 3: Cross multiply
    206.30x = 315.77 × 315.77
  4. Step 4: Simplify right side
    206.30x = 99,712.86
  5. Step 5: Solve for x
    x = 99,712.86/206.30
  6. Step 6: Final answer
    x = 483.35

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.