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Finding the Third Proportional to 213,940 and 332,742

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Solution

The third proportional to 213,940 and 332,742 is: 517,515.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,940 : 332,742 = 332,742 : x
  2. Step 2: Convert to fraction form
    213,940/332,742 = 332,742/x
  3. Step 3: Cross multiply
    213,940x = 332,742 × 332,742
  4. Step 4: Simplify right side
    213,940x = 110,717,238,564
  5. Step 5: Solve for x
    x = 110,717,238,564/213,940
  6. Step 6: Final answer
    x = 517,515.37

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.