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Finding the Third Proportional to 146,970 and 220,131

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Solution

The third proportional to 146,970 and 220,131 is: 329,711.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,970 : 220,131 = 220,131 : x
  2. Step 2: Convert to fraction form
    146,970/220,131 = 220,131/x
  3. Step 3: Cross multiply
    146,970x = 220,131 × 220,131
  4. Step 4: Simplify right side
    146,970x = 48,457,657,161
  5. Step 5: Solve for x
    x = 48,457,657,161/146,970
  6. Step 6: Final answer
    x = 329,711.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.