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Finding the Third Proportional to 152,836.50 and 336,777

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Solution

The third proportional to 152,836.50 and 336,777 is: 742,092.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,836.50 : 336,777 = 336,777 : x
  2. Step 2: Convert to fraction form
    152,836.50/336,777 = 336,777/x
  3. Step 3: Cross multiply
    152,836.50x = 336,777 × 336,777
  4. Step 4: Simplify right side
    152,836.50x = 113,418,747,729
  5. Step 5: Solve for x
    x = 113,418,747,729/152,836.50
  6. Step 6: Final answer
    x = 742,092.02

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.