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Finding the Third Proportional to 128,066 and 187,947

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Solution

The third proportional to 128,066 and 187,947 is: 275,827.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,066 : 187,947 = 187,947 : x
  2. Step 2: Convert to fraction form
    128,066/187,947 = 187,947/x
  3. Step 3: Cross multiply
    128,066x = 187,947 × 187,947
  4. Step 4: Simplify right side
    128,066x = 35,324,074,809
  5. Step 5: Solve for x
    x = 35,324,074,809/128,066
  6. Step 6: Final answer
    x = 275,827.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.