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Finding the Third Proportional to 222,030 and 338,607

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Solution

The third proportional to 222,030 and 338,607 is: 516,392.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,030 : 338,607 = 338,607 : x
  2. Step 2: Convert to fraction form
    222,030/338,607 = 338,607/x
  3. Step 3: Cross multiply
    222,030x = 338,607 × 338,607
  4. Step 4: Simplify right side
    222,030x = 114,654,700,449
  5. Step 5: Solve for x
    x = 114,654,700,449/222,030
  6. Step 6: Final answer
    x = 516,392.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.