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Finding the Third Proportional to 87,457 and 193,291

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Solution

The third proportional to 87,457 and 193,291 is: 427,197.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,457 : 193,291 = 193,291 : x
  2. Step 2: Convert to fraction form
    87,457/193,291 = 193,291/x
  3. Step 3: Cross multiply
    87,457x = 193,291 × 193,291
  4. Step 4: Simplify right side
    87,457x = 37,361,410,681
  5. Step 5: Solve for x
    x = 37,361,410,681/87,457
  6. Step 6: Final answer
    x = 427,197.49

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.