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Finding the Third Proportional to 312,099.50 and 471,428.75

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Solution

The third proportional to 312,099.50 and 471,428.75 is: 712,096.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,099.50 : 471,428.75 = 471,428.75 : x
  2. Step 2: Convert to fraction form
    312,099.50/471,428.75 = 471,428.75/x
  3. Step 3: Cross multiply
    312,099.50x = 471,428.75 × 471,428.75
  4. Step 4: Simplify right side
    312,099.50x = 222,245,066,326.56
  5. Step 5: Solve for x
    x = 222,245,066,326.56/312,099.50
  6. Step 6: Final answer
    x = 712,096.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.