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Finding the Third Proportional to 255,887 and 400,505

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Solution

The third proportional to 255,887 and 400,505 is: 626,855.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,887 : 400,505 = 400,505 : x
  2. Step 2: Convert to fraction form
    255,887/400,505 = 400,505/x
  3. Step 3: Cross multiply
    255,887x = 400,505 × 400,505
  4. Step 4: Simplify right side
    255,887x = 160,404,255,025
  5. Step 5: Solve for x
    x = 160,404,255,025/255,887
  6. Step 6: Final answer
    x = 626,855.82

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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.