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Finding the Third Proportional to 206,616 and 319,038

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Solution

The third proportional to 206,616 and 319,038 is: 492,630.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,616 : 319,038 = 319,038 : x
  2. Step 2: Convert to fraction form
    206,616/319,038 = 319,038/x
  3. Step 3: Cross multiply
    206,616x = 319,038 × 319,038
  4. Step 4: Simplify right side
    206,616x = 101,785,245,444
  5. Step 5: Solve for x
    x = 101,785,245,444/206,616
  6. Step 6: Final answer
    x = 492,630.03

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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.