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Finding the Third Proportional to 75.90 and 162.86

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Solution

The third proportional to 75.90 and 162.86 is: 349.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.90 : 162.86 = 162.86 : x
  2. Step 2: Convert to fraction form
    75.90/162.86 = 162.86/x
  3. Step 3: Cross multiply
    75.90x = 162.86 × 162.86
  4. Step 4: Simplify right side
    75.90x = 26,523.81
  5. Step 5: Solve for x
    x = 26,523.81/75.90
  6. Step 6: Final answer
    x = 349.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.