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Finding the Third Proportional to 413,560 and 638,322

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Solution

The third proportional to 413,560 and 638,322 is: 985,237.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,560 : 638,322 = 638,322 : x
  2. Step 2: Convert to fraction form
    413,560/638,322 = 638,322/x
  3. Step 3: Cross multiply
    413,560x = 638,322 × 638,322
  4. Step 4: Simplify right side
    413,560x = 407,454,975,684
  5. Step 5: Solve for x
    x = 407,454,975,684/413,560
  6. Step 6: Final answer
    x = 985,237.88

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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.