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Finding the Third Proportional to 291,273.75 and 393,529.50

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Solution

The third proportional to 291,273.75 and 393,529.50 is: 531,683.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,273.75 : 393,529.50 = 393,529.50 : x
  2. Step 2: Convert to fraction form
    291,273.75/393,529.50 = 393,529.50/x
  3. Step 3: Cross multiply
    291,273.75x = 393,529.50 × 393,529.50
  4. Step 4: Simplify right side
    291,273.75x = 154,865,467,370.25
  5. Step 5: Solve for x
    x = 154,865,467,370.25/291,273.75
  6. Step 6: Final answer
    x = 531,683.57

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.