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Finding the Third Proportional to 219,117 and 338,351

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Solution

The third proportional to 219,117 and 338,351 is: 522,466.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,117 : 338,351 = 338,351 : x
  2. Step 2: Convert to fraction form
    219,117/338,351 = 338,351/x
  3. Step 3: Cross multiply
    219,117x = 338,351 × 338,351
  4. Step 4: Simplify right side
    219,117x = 114,481,399,201
  5. Step 5: Solve for x
    x = 114,481,399,201/219,117
  6. Step 6: Final answer
    x = 522,466.99

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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.