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Finding the Third Proportional to 136,559 and 300,219

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Solution

The third proportional to 136,559 and 300,219 is: 660,018.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,559 : 300,219 = 300,219 : x
  2. Step 2: Convert to fraction form
    136,559/300,219 = 300,219/x
  3. Step 3: Cross multiply
    136,559x = 300,219 × 300,219
  4. Step 4: Simplify right side
    136,559x = 90,131,447,961
  5. Step 5: Solve for x
    x = 90,131,447,961/136,559
  6. Step 6: Final answer
    x = 660,018.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.