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Finding the Third Proportional to 209,934 and 453,021

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Solution

The third proportional to 209,934 and 453,021 is: 977,583.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,934 : 453,021 = 453,021 : x
  2. Step 2: Convert to fraction form
    209,934/453,021 = 453,021/x
  3. Step 3: Cross multiply
    209,934x = 453,021 × 453,021
  4. Step 4: Simplify right side
    209,934x = 205,228,026,441
  5. Step 5: Solve for x
    x = 205,228,026,441/209,934
  6. Step 6: Final answer
    x = 977,583.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.