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Finding the Third Proportional to 288.42 and 312.05

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Solution

The third proportional to 288.42 and 312.05 is: 337.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.42 : 312.05 = 312.05 : x
  2. Step 2: Convert to fraction form
    288.42/312.05 = 312.05/x
  3. Step 3: Cross multiply
    288.42x = 312.05 × 312.05
  4. Step 4: Simplify right side
    288.42x = 97,373.25
  5. Step 5: Solve for x
    x = 97,373.25/288.42
  6. Step 6: Final answer
    x = 337.61

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.