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Finding the Third Proportional to 209,802 and 331,364

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Solution

The third proportional to 209,802 and 331,364 is: 523,360.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,802 : 331,364 = 331,364 : x
  2. Step 2: Convert to fraction form
    209,802/331,364 = 331,364/x
  3. Step 3: Cross multiply
    209,802x = 331,364 × 331,364
  4. Step 4: Simplify right side
    209,802x = 109,802,100,496
  5. Step 5: Solve for x
    x = 109,802,100,496/209,802
  6. Step 6: Final answer
    x = 523,360.60

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.