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Finding the Third Proportional to 291,110 and 636,531

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Solution

The third proportional to 291,110 and 636,531 is: 1,391,816.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,110 : 636,531 = 636,531 : x
  2. Step 2: Convert to fraction form
    291,110/636,531 = 636,531/x
  3. Step 3: Cross multiply
    291,110x = 636,531 × 636,531
  4. Step 4: Simplify right side
    291,110x = 405,171,713,961
  5. Step 5: Solve for x
    x = 405,171,713,961/291,110
  6. Step 6: Final answer
    x = 1,391,816.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.