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Finding the Third Proportional to 146,497.50 and 310,980

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Solution

The third proportional to 146,497.50 and 310,980 is: 660,137.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,497.50 : 310,980 = 310,980 : x
  2. Step 2: Convert to fraction form
    146,497.50/310,980 = 310,980/x
  3. Step 3: Cross multiply
    146,497.50x = 310,980 × 310,980
  4. Step 4: Simplify right side
    146,497.50x = 96,708,560,400
  5. Step 5: Solve for x
    x = 96,708,560,400/146,497.50
  6. Step 6: Final answer
    x = 660,137.96

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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.