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Finding the Third Proportional to 203,172 and 309,915

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Solution

The third proportional to 203,172 and 309,915 is: 472,738.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,172 : 309,915 = 309,915 : x
  2. Step 2: Convert to fraction form
    203,172/309,915 = 309,915/x
  3. Step 3: Cross multiply
    203,172x = 309,915 × 309,915
  4. Step 4: Simplify right side
    203,172x = 96,047,307,225
  5. Step 5: Solve for x
    x = 96,047,307,225/203,172
  6. Step 6: Final answer
    x = 472,738.90

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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.