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Finding the Third Proportional to 286,956 and 628,468

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Solution

The third proportional to 286,956 and 628,468 is: 1,376,420.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,956 : 628,468 = 628,468 : x
  2. Step 2: Convert to fraction form
    286,956/628,468 = 628,468/x
  3. Step 3: Cross multiply
    286,956x = 628,468 × 628,468
  4. Step 4: Simplify right side
    286,956x = 394,972,027,024
  5. Step 5: Solve for x
    x = 394,972,027,024/286,956
  6. Step 6: Final answer
    x = 1,376,420.17

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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.