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Finding the Third Proportional to 219,876 and 331,854

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Solution

The third proportional to 219,876 and 331,854 is: 500,859.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,876 : 331,854 = 331,854 : x
  2. Step 2: Convert to fraction form
    219,876/331,854 = 331,854/x
  3. Step 3: Cross multiply
    219,876x = 331,854 × 331,854
  4. Step 4: Simplify right side
    219,876x = 110,127,077,316
  5. Step 5: Solve for x
    x = 110,127,077,316/219,876
  6. Step 6: Final answer
    x = 500,859.93

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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.