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Finding the Third Proportional to 137 and 146.50

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Solution

The third proportional to 137 and 146.50 is: 156.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    137 : 146.50 = 146.50 : x
  2. Step 2: Convert to fraction form
    137/146.50 = 146.50/x
  3. Step 3: Cross multiply
    137x = 146.50 × 146.50
  4. Step 4: Simplify right side
    137x = 21,462.25
  5. Step 5: Solve for x
    x = 21,462.25/137
  6. Step 6: Final answer
    x = 156.66

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.