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Finding the Third Proportional to 146.50 and 310.39

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Solution

The third proportional to 146.50 and 310.39 is: 657.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.50 : 310.39 = 310.39 : x
  2. Step 2: Convert to fraction form
    146.50/310.39 = 310.39/x
  3. Step 3: Cross multiply
    146.50x = 310.39 × 310.39
  4. Step 4: Simplify right side
    146.50x = 96,344.77
  5. Step 5: Solve for x
    x = 96,344.77/146.50
  6. Step 6: Final answer
    x = 657.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.