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Finding the Third Proportional to 86,420 and 187,984

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Solution

The third proportional to 86,420 and 187,984 is: 408,909.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,420 : 187,984 = 187,984 : x
  2. Step 2: Convert to fraction form
    86,420/187,984 = 187,984/x
  3. Step 3: Cross multiply
    86,420x = 187,984 × 187,984
  4. Step 4: Simplify right side
    86,420x = 35,337,984,256
  5. Step 5: Solve for x
    x = 35,337,984,256/86,420
  6. Step 6: Final answer
    x = 408,909.79

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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.