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Finding the Third Proportional to 413,215 and 638,049

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Solution

The third proportional to 413,215 and 638,049 is: 985,217.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,215 : 638,049 = 638,049 : x
  2. Step 2: Convert to fraction form
    413,215/638,049 = 638,049/x
  3. Step 3: Cross multiply
    413,215x = 638,049 × 638,049
  4. Step 4: Simplify right side
    413,215x = 407,106,526,401
  5. Step 5: Solve for x
    x = 407,106,526,401/413,215
  6. Step 6: Final answer
    x = 985,217.20

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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.