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Finding the Third Proportional to 287,015 and 628,411

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Solution

The third proportional to 287,015 and 628,411 is: 1,375,887.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,015 : 628,411 = 628,411 : x
  2. Step 2: Convert to fraction form
    287,015/628,411 = 628,411/x
  3. Step 3: Cross multiply
    287,015x = 628,411 × 628,411
  4. Step 4: Simplify right side
    287,015x = 394,900,384,921
  5. Step 5: Solve for x
    x = 394,900,384,921/287,015
  6. Step 6: Final answer
    x = 1,375,887.62

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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.