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Finding the Third Proportional to 126,128 and 189,210

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Solution

The third proportional to 126,128 and 189,210 is: 283,842.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,128 : 189,210 = 189,210 : x
  2. Step 2: Convert to fraction form
    126,128/189,210 = 189,210/x
  3. Step 3: Cross multiply
    126,128x = 189,210 × 189,210
  4. Step 4: Simplify right side
    126,128x = 35,800,424,100
  5. Step 5: Solve for x
    x = 35,800,424,100/126,128
  6. Step 6: Final answer
    x = 283,842.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.