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Finding the Third Proportional to 351,015.75 and 521,358.75

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Solution

The third proportional to 351,015.75 and 521,358.75 is: 774,366.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,015.75 : 521,358.75 = 521,358.75 : x
  2. Step 2: Convert to fraction form
    351,015.75/521,358.75 = 521,358.75/x
  3. Step 3: Cross multiply
    351,015.75x = 521,358.75 × 521,358.75
  4. Step 4: Simplify right side
    351,015.75x = 271,814,946,201.56
  5. Step 5: Solve for x
    x = 271,814,946,201.56/351,015.75
  6. Step 6: Final answer
    x = 774,366.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.