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Finding the Third Proportional to 245,676 and 520,878

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Solution

The third proportional to 245,676 and 520,878 is: 1,104,356.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,676 : 520,878 = 520,878 : x
  2. Step 2: Convert to fraction form
    245,676/520,878 = 520,878/x
  3. Step 3: Cross multiply
    245,676x = 520,878 × 520,878
  4. Step 4: Simplify right side
    245,676x = 271,313,890,884
  5. Step 5: Solve for x
    x = 271,313,890,884/245,676
  6. Step 6: Final answer
    x = 1,104,356.51

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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.