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Finding the Third Proportional to 143,866 and 225,680

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Solution

The third proportional to 143,866 and 225,680 is: 354,020.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,866 : 225,680 = 225,680 : x
  2. Step 2: Convert to fraction form
    143,866/225,680 = 225,680/x
  3. Step 3: Cross multiply
    143,866x = 225,680 × 225,680
  4. Step 4: Simplify right side
    143,866x = 50,931,462,400
  5. Step 5: Solve for x
    x = 50,931,462,400/143,866
  6. Step 6: Final answer
    x = 354,020.15

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.