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Finding the Third Proportional to 68.03 and 146.87

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Solution

The third proportional to 68.03 and 146.87 is: 317.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.03 : 146.87 = 146.87 : x
  2. Step 2: Convert to fraction form
    68.03/146.87 = 146.87/x
  3. Step 3: Cross multiply
    68.03x = 146.87 × 146.87
  4. Step 4: Simplify right side
    68.03x = 21,569.52
  5. Step 5: Solve for x
    x = 21,569.52/68.03
  6. Step 6: Final answer
    x = 317.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.