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Finding the Third Proportional to 128,176 and 191,202

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Solution

The third proportional to 128,176 and 191,202 is: 285,218.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,176 : 191,202 = 191,202 : x
  2. Step 2: Convert to fraction form
    128,176/191,202 = 191,202/x
  3. Step 3: Cross multiply
    128,176x = 191,202 × 191,202
  4. Step 4: Simplify right side
    128,176x = 36,558,204,804
  5. Step 5: Solve for x
    x = 36,558,204,804/128,176
  6. Step 6: Final answer
    x = 285,218.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.