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Finding the Third Proportional to 206,957 and 319,602

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Solution

The third proportional to 206,957 and 319,602 is: 493,558.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,957 : 319,602 = 319,602 : x
  2. Step 2: Convert to fraction form
    206,957/319,602 = 319,602/x
  3. Step 3: Cross multiply
    206,957x = 319,602 × 319,602
  4. Step 4: Simplify right side
    206,957x = 102,145,438,404
  5. Step 5: Solve for x
    x = 102,145,438,404/206,957
  6. Step 6: Final answer
    x = 493,558.75

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.