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Finding the Third Proportional to 636,382 and 1,372,348

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Solution

The third proportional to 636,382 and 1,372,348 is: 2,959,447.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    636,382 : 1,372,348 = 1,372,348 : x
  2. Step 2: Convert to fraction form
    636,382/1,372,348 = 1,372,348/x
  3. Step 3: Cross multiply
    636,382x = 1,372,348 × 1,372,348
  4. Step 4: Simplify right side
    636,382x = 1,883,339,033,104
  5. Step 5: Solve for x
    x = 1,883,339,033,104/636,382
  6. Step 6: Final answer
    x = 2,959,447.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.