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Finding the Third Proportional to 143,872 and 217,807

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Solution

The third proportional to 143,872 and 217,807 is: 329,736.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,872 : 217,807 = 217,807 : x
  2. Step 2: Convert to fraction form
    143,872/217,807 = 217,807/x
  3. Step 3: Cross multiply
    143,872x = 217,807 × 217,807
  4. Step 4: Simplify right side
    143,872x = 47,439,889,249
  5. Step 5: Solve for x
    x = 47,439,889,249/143,872
  6. Step 6: Final answer
    x = 329,736.77

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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.