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Finding the Third Proportional to 206,628 and 319,154

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Solution

The third proportional to 206,628 and 319,154 is: 492,959.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,628 : 319,154 = 319,154 : x
  2. Step 2: Convert to fraction form
    206,628/319,154 = 319,154/x
  3. Step 3: Cross multiply
    206,628x = 319,154 × 319,154
  4. Step 4: Simplify right side
    206,628x = 101,859,275,716
  5. Step 5: Solve for x
    x = 101,859,275,716/206,628
  6. Step 6: Final answer
    x = 492,959.69

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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.