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Finding the Third Proportional to 429,349 and 644,078

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Solution

The third proportional to 429,349 and 644,078 is: 966,198.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,349 : 644,078 = 644,078 : x
  2. Step 2: Convert to fraction form
    429,349/644,078 = 644,078/x
  3. Step 3: Cross multiply
    429,349x = 644,078 × 644,078
  4. Step 4: Simplify right side
    429,349x = 414,836,470,084
  5. Step 5: Solve for x
    x = 414,836,470,084/429,349
  6. Step 6: Final answer
    x = 966,198.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.