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Finding the Third Proportional to 219,534 and 331,031

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Solution

The third proportional to 219,534 and 331,031 is: 499,155.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,534 : 331,031 = 331,031 : x
  2. Step 2: Convert to fraction form
    219,534/331,031 = 331,031/x
  3. Step 3: Cross multiply
    219,534x = 331,031 × 331,031
  4. Step 4: Simplify right side
    219,534x = 109,581,522,961
  5. Step 5: Solve for x
    x = 109,581,522,961/219,534
  6. Step 6: Final answer
    x = 499,155.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.