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Finding the Third Proportional to 205,770 and 309,203

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Solution

The third proportional to 205,770 and 309,203 is: 464,627.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,770 : 309,203 = 309,203 : x
  2. Step 2: Convert to fraction form
    205,770/309,203 = 309,203/x
  3. Step 3: Cross multiply
    205,770x = 309,203 × 309,203
  4. Step 4: Simplify right side
    205,770x = 95,606,495,209
  5. Step 5: Solve for x
    x = 95,606,495,209/205,770
  6. Step 6: Final answer
    x = 464,627.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.