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Finding the Third Proportional to 209,797 and 316,441

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Solution

The third proportional to 209,797 and 316,441 is: 477,294.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,797 : 316,441 = 316,441 : x
  2. Step 2: Convert to fraction form
    209,797/316,441 = 316,441/x
  3. Step 3: Cross multiply
    209,797x = 316,441 × 316,441
  4. Step 4: Simplify right side
    209,797x = 100,134,906,481
  5. Step 5: Solve for x
    x = 100,134,906,481/209,797
  6. Step 6: Final answer
    x = 477,294.27

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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.