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Finding the Third Proportional to 64.71 and 120.87

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Solution

The third proportional to 64.71 and 120.87 is: 225.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.71 : 120.87 = 120.87 : x
  2. Step 2: Convert to fraction form
    64.71/120.87 = 120.87/x
  3. Step 3: Cross multiply
    64.71x = 120.87 × 120.87
  4. Step 4: Simplify right side
    64.71x = 14,608.88
  5. Step 5: Solve for x
    x = 14,608.88/64.71
  6. Step 6: Final answer
    x = 225.78

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.