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Finding the Third Proportional to 291,326 and 635,614

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Solution

The third proportional to 291,326 and 635,614 is: 1,386,780.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,326 : 635,614 = 635,614 : x
  2. Step 2: Convert to fraction form
    291,326/635,614 = 635,614/x
  3. Step 3: Cross multiply
    291,326x = 635,614 × 635,614
  4. Step 4: Simplify right side
    291,326x = 404,005,156,996
  5. Step 5: Solve for x
    x = 404,005,156,996/291,326
  6. Step 6: Final answer
    x = 1,386,780.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.