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Finding the Third Proportional to 302,159 and 635,422

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Solution

The third proportional to 302,159 and 635,422 is: 1,336,253.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,159 : 635,422 = 635,422 : x
  2. Step 2: Convert to fraction form
    302,159/635,422 = 635,422/x
  3. Step 3: Cross multiply
    302,159x = 635,422 × 635,422
  4. Step 4: Simplify right side
    302,159x = 403,761,118,084
  5. Step 5: Solve for x
    x = 403,761,118,084/302,159
  6. Step 6: Final answer
    x = 1,336,253.82

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.