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Finding the Third Proportional to 206,838 and 310,257

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Solution

The third proportional to 206,838 and 310,257 is: 465,385.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,838 : 310,257 = 310,257 : x
  2. Step 2: Convert to fraction form
    206,838/310,257 = 310,257/x
  3. Step 3: Cross multiply
    206,838x = 310,257 × 310,257
  4. Step 4: Simplify right side
    206,838x = 96,259,406,049
  5. Step 5: Solve for x
    x = 96,259,406,049/206,838
  6. Step 6: Final answer
    x = 465,385.50

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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.