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Finding the Third Proportional to 255,928.50 and 401,440.50

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Solution

The third proportional to 255,928.50 and 401,440.50 is: 629,685.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,928.50 : 401,440.50 = 401,440.50 : x
  2. Step 2: Convert to fraction form
    255,928.50/401,440.50 = 401,440.50/x
  3. Step 3: Cross multiply
    255,928.50x = 401,440.50 × 401,440.50
  4. Step 4: Simplify right side
    255,928.50x = 161,154,475,040.25
  5. Step 5: Solve for x
    x = 161,154,475,040.25/255,928.50
  6. Step 6: Final answer
    x = 629,685.54

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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.