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Finding the Third Proportional to 84,106 and 126,510

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Solution

The third proportional to 84,106 and 126,510 is: 190,292.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,106 : 126,510 = 126,510 : x
  2. Step 2: Convert to fraction form
    84,106/126,510 = 126,510/x
  3. Step 3: Cross multiply
    84,106x = 126,510 × 126,510
  4. Step 4: Simplify right side
    84,106x = 16,004,780,100
  5. Step 5: Solve for x
    x = 16,004,780,100/84,106
  6. Step 6: Final answer
    x = 190,292.96

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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.