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Finding the Third Proportional to 87,968.50 and 189,761

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Solution

The third proportional to 87,968.50 and 189,761 is: 409,342.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,968.50 : 189,761 = 189,761 : x
  2. Step 2: Convert to fraction form
    87,968.50/189,761 = 189,761/x
  3. Step 3: Cross multiply
    87,968.50x = 189,761 × 189,761
  4. Step 4: Simplify right side
    87,968.50x = 36,009,237,121
  5. Step 5: Solve for x
    x = 36,009,237,121/87,968.50
  6. Step 6: Final answer
    x = 409,342.40

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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.