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Finding the Third Proportional to 211,638 and 282,141

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Solution

The third proportional to 211,638 and 282,141 is: 376,130.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,638 : 282,141 = 282,141 : x
  2. Step 2: Convert to fraction form
    211,638/282,141 = 282,141/x
  3. Step 3: Cross multiply
    211,638x = 282,141 × 282,141
  4. Step 4: Simplify right side
    211,638x = 79,603,543,881
  5. Step 5: Solve for x
    x = 79,603,543,881/211,638
  6. Step 6: Final answer
    x = 376,130.68

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.