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Finding the Third Proportional to 209,520 and 324,357

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Solution

The third proportional to 209,520 and 324,357 is: 502,135.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,520 : 324,357 = 324,357 : x
  2. Step 2: Convert to fraction form
    209,520/324,357 = 324,357/x
  3. Step 3: Cross multiply
    209,520x = 324,357 × 324,357
  4. Step 4: Simplify right side
    209,520x = 105,207,463,449
  5. Step 5: Solve for x
    x = 105,207,463,449/209,520
  6. Step 6: Final answer
    x = 502,135.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.