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Finding the Third Proportional to 221,038 and 339,947

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Solution

The third proportional to 221,038 and 339,947 is: 522,823.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,038 : 339,947 = 339,947 : x
  2. Step 2: Convert to fraction form
    221,038/339,947 = 339,947/x
  3. Step 3: Cross multiply
    221,038x = 339,947 × 339,947
  4. Step 4: Simplify right side
    221,038x = 115,563,962,809
  5. Step 5: Solve for x
    x = 115,563,962,809/221,038
  6. Step 6: Final answer
    x = 522,823.96

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.