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Finding the Third Proportional to 505,890 and 1,118,898

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Solution

The third proportional to 505,890 and 1,118,898 is: 2,474,713.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,890 : 1,118,898 = 1,118,898 : x
  2. Step 2: Convert to fraction form
    505,890/1,118,898 = 1,118,898/x
  3. Step 3: Cross multiply
    505,890x = 1,118,898 × 1,118,898
  4. Step 4: Simplify right side
    505,890x = 1,251,932,734,404
  5. Step 5: Solve for x
    x = 1,251,932,734,404/505,890
  6. Step 6: Final answer
    x = 2,474,713.35

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.