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Finding the Third Proportional to 180,471 and 206,715

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Solution

The third proportional to 180,471 and 206,715 is: 236,775.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,471 : 206,715 = 206,715 : x
  2. Step 2: Convert to fraction form
    180,471/206,715 = 206,715/x
  3. Step 3: Cross multiply
    180,471x = 206,715 × 206,715
  4. Step 4: Simplify right side
    180,471x = 42,731,091,225
  5. Step 5: Solve for x
    x = 42,731,091,225/180,471
  6. Step 6: Final answer
    x = 236,775.39

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.