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Finding the Third Proportional to 429,150 and 649,247

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Solution

The third proportional to 429,150 and 649,247 is: 982,224.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,150 : 649,247 = 649,247 : x
  2. Step 2: Convert to fraction form
    429,150/649,247 = 649,247/x
  3. Step 3: Cross multiply
    429,150x = 649,247 × 649,247
  4. Step 4: Simplify right side
    429,150x = 421,521,667,009
  5. Step 5: Solve for x
    x = 421,521,667,009/429,150
  6. Step 6: Final answer
    x = 982,224.55

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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.