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Finding the Third Proportional to 255,558 and 400,918

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Solution

The third proportional to 255,558 and 400,918 is: 628,957.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,558 : 400,918 = 400,918 : x
  2. Step 2: Convert to fraction form
    255,558/400,918 = 400,918/x
  3. Step 3: Cross multiply
    255,558x = 400,918 × 400,918
  4. Step 4: Simplify right side
    255,558x = 160,735,242,724
  5. Step 5: Solve for x
    x = 160,735,242,724/255,558
  6. Step 6: Final answer
    x = 628,957.98

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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.