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Finding the Third Proportional to 143.02 and 313.03

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Solution

The third proportional to 143.02 and 313.03 is: 685.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.02 : 313.03 = 313.03 : x
  2. Step 2: Convert to fraction form
    143.02/313.03 = 313.03/x
  3. Step 3: Cross multiply
    143.02x = 313.03 × 313.03
  4. Step 4: Simplify right side
    143.02x = 97,988.56
  5. Step 5: Solve for x
    x = 97,988.56/143.02
  6. Step 6: Final answer
    x = 685.16

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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.