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Finding the Third Proportional to 84,219 and 126,670.50

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Solution

The third proportional to 84,219 and 126,670.50 is: 190,520.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,219 : 126,670.50 = 126,670.50 : x
  2. Step 2: Convert to fraction form
    84,219/126,670.50 = 126,670.50/x
  3. Step 3: Cross multiply
    84,219x = 126,670.50 × 126,670.50
  4. Step 4: Simplify right side
    84,219x = 16,045,415,570.25
  5. Step 5: Solve for x
    x = 16,045,415,570.25/84,219
  6. Step 6: Final answer
    x = 190,520.14

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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.