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Finding the Third Proportional to 212,219 and 456,041

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Solution

The third proportional to 212,219 and 456,041 is: 979,994.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,219 : 456,041 = 456,041 : x
  2. Step 2: Convert to fraction form
    212,219/456,041 = 456,041/x
  3. Step 3: Cross multiply
    212,219x = 456,041 × 456,041
  4. Step 4: Simplify right side
    212,219x = 207,973,393,681
  5. Step 5: Solve for x
    x = 207,973,393,681/212,219
  6. Step 6: Final answer
    x = 979,994.22

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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.