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Finding the Third Proportional to 64.13 and 139.03

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Solution

The third proportional to 64.13 and 139.03 is: 301.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.13 : 139.03 = 139.03 : x
  2. Step 2: Convert to fraction form
    64.13/139.03 = 139.03/x
  3. Step 3: Cross multiply
    64.13x = 139.03 × 139.03
  4. Step 4: Simplify right side
    64.13x = 19,329.69
  5. Step 5: Solve for x
    x = 19,329.69/64.13
  6. Step 6: Final answer
    x = 301.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.