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Finding the Third Proportional to 64.03 and 139.95

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Solution

The third proportional to 64.03 and 139.95 is: 305.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.03 : 139.95 = 139.95 : x
  2. Step 2: Convert to fraction form
    64.03/139.95 = 139.95/x
  3. Step 3: Cross multiply
    64.03x = 139.95 × 139.95
  4. Step 4: Simplify right side
    64.03x = 19,584.69
  5. Step 5: Solve for x
    x = 19,584.69/64.03
  6. Step 6: Final answer
    x = 305.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.