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Finding the Third Proportional to 296,464.50 and 639,477

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Solution

The third proportional to 296,464.50 and 639,477 is: 1,379,358.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,464.50 : 639,477 = 639,477 : x
  2. Step 2: Convert to fraction form
    296,464.50/639,477 = 639,477/x
  3. Step 3: Cross multiply
    296,464.50x = 639,477 × 639,477
  4. Step 4: Simplify right side
    296,464.50x = 408,930,833,529
  5. Step 5: Solve for x
    x = 408,930,833,529/296,464.50
  6. Step 6: Final answer
    x = 1,379,358.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.