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Finding the Third Proportional to 143,850 and 215,772

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Solution

The third proportional to 143,850 and 215,772 is: 323,653.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,850 : 215,772 = 215,772 : x
  2. Step 2: Convert to fraction form
    143,850/215,772 = 215,772/x
  3. Step 3: Cross multiply
    143,850x = 215,772 × 215,772
  4. Step 4: Simplify right side
    143,850x = 46,557,555,984
  5. Step 5: Solve for x
    x = 46,557,555,984/143,850
  6. Step 6: Final answer
    x = 323,653.50

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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.