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Finding the Third Proportional to 413,288 and 638,348

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Solution

The third proportional to 413,288 and 638,348 is: 985,966.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,288 : 638,348 = 638,348 : x
  2. Step 2: Convert to fraction form
    413,288/638,348 = 638,348/x
  3. Step 3: Cross multiply
    413,288x = 638,348 × 638,348
  4. Step 4: Simplify right side
    413,288x = 407,488,169,104
  5. Step 5: Solve for x
    x = 407,488,169,104/413,288
  6. Step 6: Final answer
    x = 985,966.61

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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.