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Finding the Third Proportional to 122,509 and 250,202

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Solution

The third proportional to 122,509 and 250,202 is: 510,991.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,509 : 250,202 = 250,202 : x
  2. Step 2: Convert to fraction form
    122,509/250,202 = 250,202/x
  3. Step 3: Cross multiply
    122,509x = 250,202 × 250,202
  4. Step 4: Simplify right side
    122,509x = 62,601,040,804
  5. Step 5: Solve for x
    x = 62,601,040,804/122,509
  6. Step 6: Final answer
    x = 510,991.36

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.