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Finding the Third Proportional to 81,447.75 and 190,302.75

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Solution

The third proportional to 81,447.75 and 190,302.75 is: 444,642.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,447.75 : 190,302.75 = 190,302.75 : x
  2. Step 2: Convert to fraction form
    81,447.75/190,302.75 = 190,302.75/x
  3. Step 3: Cross multiply
    81,447.75x = 190,302.75 × 190,302.75
  4. Step 4: Simplify right side
    81,447.75x = 36,215,136,657.56
  5. Step 5: Solve for x
    x = 36,215,136,657.56/81,447.75
  6. Step 6: Final answer
    x = 444,642.57

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.