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Finding the Third Proportional to 209,805 and 316,449

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Solution

The third proportional to 209,805 and 316,449 is: 477,300.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,805 : 316,449 = 316,449 : x
  2. Step 2: Convert to fraction form
    209,805/316,449 = 316,449/x
  3. Step 3: Cross multiply
    209,805x = 316,449 × 316,449
  4. Step 4: Simplify right side
    209,805x = 100,139,969,601
  5. Step 5: Solve for x
    x = 100,139,969,601/209,805
  6. Step 6: Final answer
    x = 477,300.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.