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Finding the Third Proportional to 87,043 and 190,489

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Solution

The third proportional to 87,043 and 190,489 is: 416,875.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,043 : 190,489 = 190,489 : x
  2. Step 2: Convert to fraction form
    87,043/190,489 = 190,489/x
  3. Step 3: Cross multiply
    87,043x = 190,489 × 190,489
  4. Step 4: Simplify right side
    87,043x = 36,286,059,121
  5. Step 5: Solve for x
    x = 36,286,059,121/87,043
  6. Step 6: Final answer
    x = 416,875.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.