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Finding the Third Proportional to 202,209 and 309,753

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Solution

The third proportional to 202,209 and 309,753 is: 474,493.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,209 : 309,753 = 309,753 : x
  2. Step 2: Convert to fraction form
    202,209/309,753 = 309,753/x
  3. Step 3: Cross multiply
    202,209x = 309,753 × 309,753
  4. Step 4: Simplify right side
    202,209x = 95,946,921,009
  5. Step 5: Solve for x
    x = 95,946,921,009/202,209
  6. Step 6: Final answer
    x = 474,493.82

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.