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Finding the Third Proportional to 429,149 and 649,245

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Solution

The third proportional to 429,149 and 649,245 is: 982,220.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,149 : 649,245 = 649,245 : x
  2. Step 2: Convert to fraction form
    429,149/649,245 = 649,245/x
  3. Step 3: Cross multiply
    429,149x = 649,245 × 649,245
  4. Step 4: Simplify right side
    429,149x = 421,519,070,025
  5. Step 5: Solve for x
    x = 421,519,070,025/429,149
  6. Step 6: Final answer
    x = 982,220.79

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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.