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Finding the Third Proportional to 411,008.50 and 644,917

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Solution

The third proportional to 411,008.50 and 644,917 is: 1,011,944.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,008.50 : 644,917 = 644,917 : x
  2. Step 2: Convert to fraction form
    411,008.50/644,917 = 644,917/x
  3. Step 3: Cross multiply
    411,008.50x = 644,917 × 644,917
  4. Step 4: Simplify right side
    411,008.50x = 415,917,936,889
  5. Step 5: Solve for x
    x = 415,917,936,889/411,008.50
  6. Step 6: Final answer
    x = 1,011,944.85

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.