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Finding the Third Proportional to 87,431 and 188,820

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Solution

The third proportional to 87,431 and 188,820 is: 407,784.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,431 : 188,820 = 188,820 : x
  2. Step 2: Convert to fraction form
    87,431/188,820 = 188,820/x
  3. Step 3: Cross multiply
    87,431x = 188,820 × 188,820
  4. Step 4: Simplify right side
    87,431x = 35,652,992,400
  5. Step 5: Solve for x
    x = 35,652,992,400/87,431
  6. Step 6: Final answer
    x = 407,784.34

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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.