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Finding the Third Proportional to 128,770 and 285,188

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Solution

The third proportional to 128,770 and 285,188 is: 631,608.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,770 : 285,188 = 285,188 : x
  2. Step 2: Convert to fraction form
    128,770/285,188 = 285,188/x
  3. Step 3: Cross multiply
    128,770x = 285,188 × 285,188
  4. Step 4: Simplify right side
    128,770x = 81,332,195,344
  5. Step 5: Solve for x
    x = 81,332,195,344/128,770
  6. Step 6: Final answer
    x = 631,608.26

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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.