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Finding the Third Proportional to 142.17 and 312.35

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Solution

The third proportional to 142.17 and 312.35 is: 686.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.17 : 312.35 = 312.35 : x
  2. Step 2: Convert to fraction form
    142.17/312.35 = 312.35/x
  3. Step 3: Cross multiply
    142.17x = 312.35 × 312.35
  4. Step 4: Simplify right side
    142.17x = 97,559.84
  5. Step 5: Solve for x
    x = 97,559.84/142.17
  6. Step 6: Final answer
    x = 686.21

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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.