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Finding the Third Proportional to 81,643.50 and 119,670.75

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Solution

The third proportional to 81,643.50 and 119,670.75 is: 175,410.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,643.50 : 119,670.75 = 119,670.75 : x
  2. Step 2: Convert to fraction form
    81,643.50/119,670.75 = 119,670.75/x
  3. Step 3: Cross multiply
    81,643.50x = 119,670.75 × 119,670.75
  4. Step 4: Simplify right side
    81,643.50x = 14,321,088,405.56
  5. Step 5: Solve for x
    x = 14,321,088,405.56/81,643.50
  6. Step 6: Final answer
    x = 175,410.03

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.