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Finding the Third Proportional to 224,425 and 335,878

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Solution

The third proportional to 224,425 and 335,878 is: 502,680.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,425 : 335,878 = 335,878 : x
  2. Step 2: Convert to fraction form
    224,425/335,878 = 335,878/x
  3. Step 3: Cross multiply
    224,425x = 335,878 × 335,878
  4. Step 4: Simplify right side
    224,425x = 112,814,030,884
  5. Step 5: Solve for x
    x = 112,814,030,884/224,425
  6. Step 6: Final answer
    x = 502,680.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.