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Finding the Third Proportional to 355,119 and 838,182

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Solution

The third proportional to 355,119 and 838,182 is: 1,978,348.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,119 : 838,182 = 838,182 : x
  2. Step 2: Convert to fraction form
    355,119/838,182 = 838,182/x
  3. Step 3: Cross multiply
    355,119x = 838,182 × 838,182
  4. Step 4: Simplify right side
    355,119x = 702,549,065,124
  5. Step 5: Solve for x
    x = 702,549,065,124/355,119
  6. Step 6: Final answer
    x = 1,978,348.29

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.