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Finding the Third Proportional to 429,324.75 and 667,620

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Solution

The third proportional to 429,324.75 and 667,620 is: 1,038,180.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,324.75 : 667,620 = 667,620 : x
  2. Step 2: Convert to fraction form
    429,324.75/667,620 = 667,620/x
  3. Step 3: Cross multiply
    429,324.75x = 667,620 × 667,620
  4. Step 4: Simplify right side
    429,324.75x = 445,716,464,400
  5. Step 5: Solve for x
    x = 445,716,464,400/429,324.75
  6. Step 6: Final answer
    x = 1,038,180.22

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.