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Finding the Third Proportional to 413,208 and 638,037

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Solution

The third proportional to 413,208 and 638,037 is: 985,196.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,208 : 638,037 = 638,037 : x
  2. Step 2: Convert to fraction form
    413,208/638,037 = 638,037/x
  3. Step 3: Cross multiply
    413,208x = 638,037 × 638,037
  4. Step 4: Simplify right side
    413,208x = 407,091,213,369
  5. Step 5: Solve for x
    x = 407,091,213,369/413,208
  6. Step 6: Final answer
    x = 985,196.83

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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.