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Finding the Third Proportional to 38,219.50 and 81,670.50

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Solution

The third proportional to 38,219.50 and 81,670.50 is: 174,520.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,219.50 : 81,670.50 = 81,670.50 : x
  2. Step 2: Convert to fraction form
    38,219.50/81,670.50 = 81,670.50/x
  3. Step 3: Cross multiply
    38,219.50x = 81,670.50 × 81,670.50
  4. Step 4: Simplify right side
    38,219.50x = 6,670,070,570.25
  5. Step 5: Solve for x
    x = 6,670,070,570.25/38,219.50
  6. Step 6: Final answer
    x = 174,520.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.