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Finding the Third Proportional to 143.50 and 314.19

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Solution

The third proportional to 143.50 and 314.19 is: 687.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.50 : 314.19 = 314.19 : x
  2. Step 2: Convert to fraction form
    143.50/314.19 = 314.19/x
  3. Step 3: Cross multiply
    143.50x = 314.19 × 314.19
  4. Step 4: Simplify right side
    143.50x = 98,713.79
  5. Step 5: Solve for x
    x = 98,713.79/143.50
  6. Step 6: Final answer
    x = 687.90

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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.