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Finding the Third Proportional to 255,557.75 and 400,917.75

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Solution

The third proportional to 255,557.75 and 400,917.75 is: 628,957.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,557.75 : 400,917.75 = 400,917.75 : x
  2. Step 2: Convert to fraction form
    255,557.75/400,917.75 = 400,917.75/x
  3. Step 3: Cross multiply
    255,557.75x = 400,917.75 × 400,917.75
  4. Step 4: Simplify right side
    255,557.75x = 160,735,042,265.06
  5. Step 5: Solve for x
    x = 160,735,042,265.06/255,557.75
  6. Step 6: Final answer
    x = 628,957.81

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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.