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Finding the Third Proportional to 206,746 and 331,715

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Solution

The third proportional to 206,746 and 331,715 is: 532,222.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,746 : 331,715 = 331,715 : x
  2. Step 2: Convert to fraction form
    206,746/331,715 = 331,715/x
  3. Step 3: Cross multiply
    206,746x = 331,715 × 331,715
  4. Step 4: Simplify right side
    206,746x = 110,034,841,225
  5. Step 5: Solve for x
    x = 110,034,841,225/206,746
  6. Step 6: Final answer
    x = 532,222.35

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.