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Finding the Third Proportional to 87,278 and 190,108

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Solution

The third proportional to 87,278 and 190,108 is: 414,091.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,278 : 190,108 = 190,108 : x
  2. Step 2: Convert to fraction form
    87,278/190,108 = 190,108/x
  3. Step 3: Cross multiply
    87,278x = 190,108 × 190,108
  4. Step 4: Simplify right side
    87,278x = 36,141,051,664
  5. Step 5: Solve for x
    x = 36,141,051,664/87,278
  6. Step 6: Final answer
    x = 414,091.20

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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.