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Finding the Third Proportional to 142.13 and 312.19

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Solution

The third proportional to 142.13 and 312.19 is: 685.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.13 : 312.19 = 312.19 : x
  2. Step 2: Convert to fraction form
    142.13/312.19 = 312.19/x
  3. Step 3: Cross multiply
    142.13x = 312.19 × 312.19
  4. Step 4: Simplify right side
    142.13x = 97,461.04
  5. Step 5: Solve for x
    x = 97,461.04/142.13
  6. Step 6: Final answer
    x = 685.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.