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Finding the Third Proportional to 206,901 and 322,609.50

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Solution

The third proportional to 206,901 and 322,609.50 is: 503,027.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,901 : 322,609.50 = 322,609.50 : x
  2. Step 2: Convert to fraction form
    206,901/322,609.50 = 322,609.50/x
  3. Step 3: Cross multiply
    206,901x = 322,609.50 × 322,609.50
  4. Step 4: Simplify right side
    206,901x = 104,076,889,490.25
  5. Step 5: Solve for x
    x = 104,076,889,490.25/206,901
  6. Step 6: Final answer
    x = 503,027.48

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.