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Finding the Third Proportional to 64.83 and 153.73

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Solution

The third proportional to 64.83 and 153.73 is: 364.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.83 : 153.73 = 153.73 : x
  2. Step 2: Convert to fraction form
    64.83/153.73 = 153.73/x
  3. Step 3: Cross multiply
    64.83x = 153.73 × 153.73
  4. Step 4: Simplify right side
    64.83x = 23,631.86
  5. Step 5: Solve for x
    x = 23,631.86/64.83
  6. Step 6: Final answer
    x = 364.53

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.