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Finding the Third Proportional to 214,631 and 291,498

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Solution

The third proportional to 214,631 and 291,498 is: 395,893.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,631 : 291,498 = 291,498 : x
  2. Step 2: Convert to fraction form
    214,631/291,498 = 291,498/x
  3. Step 3: Cross multiply
    214,631x = 291,498 × 291,498
  4. Step 4: Simplify right side
    214,631x = 84,971,084,004
  5. Step 5: Solve for x
    x = 84,971,084,004/214,631
  6. Step 6: Final answer
    x = 395,893.81

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.