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Finding the Third Proportional to 287,013 and 628,407

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Solution

The third proportional to 287,013 and 628,407 is: 1,375,879.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,013 : 628,407 = 628,407 : x
  2. Step 2: Convert to fraction form
    287,013/628,407 = 628,407/x
  3. Step 3: Cross multiply
    287,013x = 628,407 × 628,407
  4. Step 4: Simplify right side
    287,013x = 394,895,357,649
  5. Step 5: Solve for x
    x = 394,895,357,649/287,013
  6. Step 6: Final answer
    x = 1,375,879.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.