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Finding the Third Proportional to 87,280 and 190,112

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Solution

The third proportional to 87,280 and 190,112 is: 414,099.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,280 : 190,112 = 190,112 : x
  2. Step 2: Convert to fraction form
    87,280/190,112 = 190,112/x
  3. Step 3: Cross multiply
    87,280x = 190,112 × 190,112
  4. Step 4: Simplify right side
    87,280x = 36,142,572,544
  5. Step 5: Solve for x
    x = 36,142,572,544/87,280
  6. Step 6: Final answer
    x = 414,099.14

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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.