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Finding the Third Proportional to 123,203 and 264,811

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Solution

The third proportional to 123,203 and 264,811 is: 569,181.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,203 : 264,811 = 264,811 : x
  2. Step 2: Convert to fraction form
    123,203/264,811 = 264,811/x
  3. Step 3: Cross multiply
    123,203x = 264,811 × 264,811
  4. Step 4: Simplify right side
    123,203x = 70,124,865,721
  5. Step 5: Solve for x
    x = 70,124,865,721/123,203
  6. Step 6: Final answer
    x = 569,181.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.