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Finding the Third Proportional to 143.06 and 313.78

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Solution

The third proportional to 143.06 and 313.78 is: 688.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.06 : 313.78 = 313.78 : x
  2. Step 2: Convert to fraction form
    143.06/313.78 = 313.78/x
  3. Step 3: Cross multiply
    143.06x = 313.78 × 313.78
  4. Step 4: Simplify right side
    143.06x = 98,458.67
  5. Step 5: Solve for x
    x = 98,458.67/143.06
  6. Step 6: Final answer
    x = 688.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.