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Finding the Third Proportional to 255,649 and 400,160

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Solution

The third proportional to 255,649 and 400,160 is: 626,358.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,649 : 400,160 = 400,160 : x
  2. Step 2: Convert to fraction form
    255,649/400,160 = 400,160/x
  3. Step 3: Cross multiply
    255,649x = 400,160 × 400,160
  4. Step 4: Simplify right side
    255,649x = 160,128,025,600
  5. Step 5: Solve for x
    x = 160,128,025,600/255,649
  6. Step 6: Final answer
    x = 626,358.90

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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.