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Finding the Third Proportional to 143,807 and 217,722

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Solution

The third proportional to 143,807 and 217,722 is: 329,628.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,807 : 217,722 = 217,722 : x
  2. Step 2: Convert to fraction form
    143,807/217,722 = 217,722/x
  3. Step 3: Cross multiply
    143,807x = 217,722 × 217,722
  4. Step 4: Simplify right side
    143,807x = 47,402,869,284
  5. Step 5: Solve for x
    x = 47,402,869,284/143,807
  6. Step 6: Final answer
    x = 329,628.39

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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.