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Finding the Third Proportional to 413,550 and 638,307

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Solution

The third proportional to 413,550 and 638,307 is: 985,215.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,550 : 638,307 = 638,307 : x
  2. Step 2: Convert to fraction form
    413,550/638,307 = 638,307/x
  3. Step 3: Cross multiply
    413,550x = 638,307 × 638,307
  4. Step 4: Simplify right side
    413,550x = 407,435,826,249
  5. Step 5: Solve for x
    x = 407,435,826,249/413,550
  6. Step 6: Final answer
    x = 985,215.39

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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.