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Finding the Third Proportional to 291,396 and 635,748

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Solution

The third proportional to 291,396 and 635,748 is: 1,387,031.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,396 : 635,748 = 635,748 : x
  2. Step 2: Convert to fraction form
    291,396/635,748 = 635,748/x
  3. Step 3: Cross multiply
    291,396x = 635,748 × 635,748
  4. Step 4: Simplify right side
    291,396x = 404,175,519,504
  5. Step 5: Solve for x
    x = 404,175,519,504/291,396
  6. Step 6: Final answer
    x = 1,387,031.80

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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.