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Finding the Third Proportional to 87,270 and 188,464

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Solution

The third proportional to 87,270 and 188,464 is: 406,997.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,270 : 188,464 = 188,464 : x
  2. Step 2: Convert to fraction form
    87,270/188,464 = 188,464/x
  3. Step 3: Cross multiply
    87,270x = 188,464 × 188,464
  4. Step 4: Simplify right side
    87,270x = 35,518,679,296
  5. Step 5: Solve for x
    x = 35,518,679,296/87,270
  6. Step 6: Final answer
    x = 406,997.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.