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Finding the Third Proportional to 291,158 and 628,288

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Solution

The third proportional to 291,158 and 628,288 is: 1,355,778.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,158 : 628,288 = 628,288 : x
  2. Step 2: Convert to fraction form
    291,158/628,288 = 628,288/x
  3. Step 3: Cross multiply
    291,158x = 628,288 × 628,288
  4. Step 4: Simplify right side
    291,158x = 394,745,810,944
  5. Step 5: Solve for x
    x = 394,745,810,944/291,158
  6. Step 6: Final answer
    x = 1,355,778.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.