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Finding the Third Proportional to 413,260 and 638,314

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Solution

The third proportional to 413,260 and 638,314 is: 985,928.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,260 : 638,314 = 638,314 : x
  2. Step 2: Convert to fraction form
    413,260/638,314 = 638,314/x
  3. Step 3: Cross multiply
    413,260x = 638,314 × 638,314
  4. Step 4: Simplify right side
    413,260x = 407,444,762,596
  5. Step 5: Solve for x
    x = 407,444,762,596/413,260
  6. Step 6: Final answer
    x = 985,928.38

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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.