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Finding the Third Proportional to 205,812 and 316,919

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Solution

The third proportional to 205,812 and 316,919 is: 488,006.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,812 : 316,919 = 316,919 : x
  2. Step 2: Convert to fraction form
    205,812/316,919 = 316,919/x
  3. Step 3: Cross multiply
    205,812x = 316,919 × 316,919
  4. Step 4: Simplify right side
    205,812x = 100,437,652,561
  5. Step 5: Solve for x
    x = 100,437,652,561/205,812
  6. Step 6: Final answer
    x = 488,006.79

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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.