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Finding the Third Proportional to 64.92 and 139.36

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Solution

The third proportional to 64.92 and 139.36 is: 299.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.92 : 139.36 = 139.36 : x
  2. Step 2: Convert to fraction form
    64.92/139.36 = 139.36/x
  3. Step 3: Cross multiply
    64.92x = 139.36 × 139.36
  4. Step 4: Simplify right side
    64.92x = 19,421.04
  5. Step 5: Solve for x
    x = 19,421.04/64.92
  6. Step 6: Final answer
    x = 299.14

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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.