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Finding the Third Proportional to 413,216 and 638,050

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Solution

The third proportional to 413,216 and 638,050 is: 985,217.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,216 : 638,050 = 638,050 : x
  2. Step 2: Convert to fraction form
    413,216/638,050 = 638,050/x
  3. Step 3: Cross multiply
    413,216x = 638,050 × 638,050
  4. Step 4: Simplify right side
    413,216x = 407,107,802,500
  5. Step 5: Solve for x
    x = 407,107,802,500/413,216
  6. Step 6: Final answer
    x = 985,217.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.