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Finding the Third Proportional to 273,446.25 and 427,979.25

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Solution

The third proportional to 273,446.25 and 427,979.25 is: 669,843.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,446.25 : 427,979.25 = 427,979.25 : x
  2. Step 2: Convert to fraction form
    273,446.25/427,979.25 = 427,979.25/x
  3. Step 3: Cross multiply
    273,446.25x = 427,979.25 × 427,979.25
  4. Step 4: Simplify right side
    273,446.25x = 183,166,238,430.56
  5. Step 5: Solve for x
    x = 183,166,238,430.56/273,446.25
  6. Step 6: Final answer
    x = 669,843.67

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.