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Finding the Third Proportional to 313.17 and 847.83

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Solution

The third proportional to 313.17 and 847.83 is: 2,295.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.17 : 847.83 = 847.83 : x
  2. Step 2: Convert to fraction form
    313.17/847.83 = 847.83/x
  3. Step 3: Cross multiply
    313.17x = 847.83 × 847.83
  4. Step 4: Simplify right side
    313.17x = 718,812.53
  5. Step 5: Solve for x
    x = 718,812.53/313.17
  6. Step 6: Final answer
    x = 2,295.27

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Why These Related Problems?

These problems maintain the same ratio (2.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.