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Finding the Third Proportional to 64.83 and 138.52

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Solution

The third proportional to 64.83 and 138.52 is: 295.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.83 : 138.52 = 138.52 : x
  2. Step 2: Convert to fraction form
    64.83/138.52 = 138.52/x
  3. Step 3: Cross multiply
    64.83x = 138.52 × 138.52
  4. Step 4: Simplify right side
    64.83x = 19,186.58
  5. Step 5: Solve for x
    x = 19,186.58/64.83
  6. Step 6: Final answer
    x = 295.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.