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Finding the Third Proportional to 213,042 and 331,389

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Solution

The third proportional to 213,042 and 331,389 is: 515,478.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,042 : 331,389 = 331,389 : x
  2. Step 2: Convert to fraction form
    213,042/331,389 = 331,389/x
  3. Step 3: Cross multiply
    213,042x = 331,389 × 331,389
  4. Step 4: Simplify right side
    213,042x = 109,818,669,321
  5. Step 5: Solve for x
    x = 109,818,669,321/213,042
  6. Step 6: Final answer
    x = 515,478.96

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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.