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Finding the Third Proportional to 203,396 and 307,720

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Solution

The third proportional to 203,396 and 307,720 is: 465,552.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,396 : 307,720 = 307,720 : x
  2. Step 2: Convert to fraction form
    203,396/307,720 = 307,720/x
  3. Step 3: Cross multiply
    203,396x = 307,720 × 307,720
  4. Step 4: Simplify right side
    203,396x = 94,691,598,400
  5. Step 5: Solve for x
    x = 94,691,598,400/203,396
  6. Step 6: Final answer
    x = 465,552.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.