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Finding the Third Proportional to 128,306 and 188,571

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Solution

The third proportional to 128,306 and 188,571 is: 277,142.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,306 : 188,571 = 188,571 : x
  2. Step 2: Convert to fraction form
    128,306/188,571 = 188,571/x
  3. Step 3: Cross multiply
    128,306x = 188,571 × 188,571
  4. Step 4: Simplify right side
    128,306x = 35,559,022,041
  5. Step 5: Solve for x
    x = 35,559,022,041/128,306
  6. Step 6: Final answer
    x = 277,142.32

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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.