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Finding the Third Proportional to 213,956 and 331,117

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Solution

The third proportional to 213,956 and 331,117 is: 512,434.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,956 : 331,117 = 331,117 : x
  2. Step 2: Convert to fraction form
    213,956/331,117 = 331,117/x
  3. Step 3: Cross multiply
    213,956x = 331,117 × 331,117
  4. Step 4: Simplify right side
    213,956x = 109,638,467,689
  5. Step 5: Solve for x
    x = 109,638,467,689/213,956
  6. Step 6: Final answer
    x = 512,434.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.