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Finding the Third Proportional to 143,750 and 217,630

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Solution

The third proportional to 143,750 and 217,630 is: 329,480.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,750 : 217,630 = 217,630 : x
  2. Step 2: Convert to fraction form
    143,750/217,630 = 217,630/x
  3. Step 3: Cross multiply
    143,750x = 217,630 × 217,630
  4. Step 4: Simplify right side
    143,750x = 47,362,816,900
  5. Step 5: Solve for x
    x = 47,362,816,900/143,750
  6. Step 6: Final answer
    x = 329,480.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.