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Finding the Third Proportional to 255,647 and 400,157

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Solution

The third proportional to 255,647 and 400,157 is: 626,354.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,647 : 400,157 = 400,157 : x
  2. Step 2: Convert to fraction form
    255,647/400,157 = 400,157/x
  3. Step 3: Cross multiply
    255,647x = 400,157 × 400,157
  4. Step 4: Simplify right side
    255,647x = 160,125,624,649
  5. Step 5: Solve for x
    x = 160,125,624,649/255,647
  6. Step 6: Final answer
    x = 626,354.41

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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.