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Finding the Third Proportional to 209,801 and 316,443

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Solution

The third proportional to 209,801 and 316,443 is: 477,291.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,801 : 316,443 = 316,443 : x
  2. Step 2: Convert to fraction form
    209,801/316,443 = 316,443/x
  3. Step 3: Cross multiply
    209,801x = 316,443 × 316,443
  4. Step 4: Simplify right side
    209,801x = 100,136,172,249
  5. Step 5: Solve for x
    x = 100,136,172,249/209,801
  6. Step 6: Final answer
    x = 477,291.21

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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.