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Finding the Third Proportional to 231,939,969 and 324,438,678

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Solution

The third proportional to 231,939,969 and 324,438,678 is: 453,826,290.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,939,969 : 324,438,678 = 324,438,678 : x
  2. Step 2: Convert to fraction form
    231,939,969/324,438,678 = 324,438,678/x
  3. Step 3: Cross multiply
    231,939,969x = 324,438,678 × 324,438,678
  4. Step 4: Simplify right side
    231,939,969x = 105,260,455,782,387,680
  5. Step 5: Solve for x
    x = 105,260,455,782,387,680/231,939,969
  6. Step 6: Final answer
    x = 453,826,290.64

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.