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Finding the Third Proportional to 128,771 and 285,190

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Solution

The third proportional to 128,771 and 285,190 is: 631,612.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,771 : 285,190 = 285,190 : x
  2. Step 2: Convert to fraction form
    128,771/285,190 = 285,190/x
  3. Step 3: Cross multiply
    128,771x = 285,190 × 285,190
  4. Step 4: Simplify right side
    128,771x = 81,333,336,100
  5. Step 5: Solve for x
    x = 81,333,336,100/128,771
  6. Step 6: Final answer
    x = 631,612.21

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.