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Finding the Third Proportional to 212,074 and 448,690

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Solution

The third proportional to 212,074 and 448,690 is: 949,304.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,074 : 448,690 = 448,690 : x
  2. Step 2: Convert to fraction form
    212,074/448,690 = 448,690/x
  3. Step 3: Cross multiply
    212,074x = 448,690 × 448,690
  4. Step 4: Simplify right side
    212,074x = 201,322,716,100
  5. Step 5: Solve for x
    x = 201,322,716,100/212,074
  6. Step 6: Final answer
    x = 949,304.09

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.