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Finding the Third Proportional to 260,977 and 556,137

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Solution

The third proportional to 260,977 and 556,137 is: 1,185,117.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,977 : 556,137 = 556,137 : x
  2. Step 2: Convert to fraction form
    260,977/556,137 = 556,137/x
  3. Step 3: Cross multiply
    260,977x = 556,137 × 556,137
  4. Step 4: Simplify right side
    260,977x = 309,288,362,769
  5. Step 5: Solve for x
    x = 309,288,362,769/260,977
  6. Step 6: Final answer
    x = 1,185,117.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.