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Finding the Third Proportional to 203,375 and 309,209

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Solution

The third proportional to 203,375 and 309,209 is: 470,117.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,375 : 309,209 = 309,209 : x
  2. Step 2: Convert to fraction form
    203,375/309,209 = 309,209/x
  3. Step 3: Cross multiply
    203,375x = 309,209 × 309,209
  4. Step 4: Simplify right side
    203,375x = 95,610,205,681
  5. Step 5: Solve for x
    x = 95,610,205,681/203,375
  6. Step 6: Final answer
    x = 470,117.79

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.