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Finding the Third Proportional to 113,138 and 223,421

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Solution

The third proportional to 113,138 and 223,421 is: 441,204.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,138 : 223,421 = 223,421 : x
  2. Step 2: Convert to fraction form
    113,138/223,421 = 223,421/x
  3. Step 3: Cross multiply
    113,138x = 223,421 × 223,421
  4. Step 4: Simplify right side
    113,138x = 49,916,943,241
  5. Step 5: Solve for x
    x = 49,916,943,241/113,138
  6. Step 6: Final answer
    x = 441,204.04

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.