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Finding the Third Proportional to 84,102 and 126,511

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Solution

The third proportional to 84,102 and 126,511 is: 190,305.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,102 : 126,511 = 126,511 : x
  2. Step 2: Convert to fraction form
    84,102/126,511 = 126,511/x
  3. Step 3: Cross multiply
    84,102x = 126,511 × 126,511
  4. Step 4: Simplify right side
    84,102x = 16,005,033,121
  5. Step 5: Solve for x
    x = 16,005,033,121/84,102
  6. Step 6: Final answer
    x = 190,305.02

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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.