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Finding the Third Proportional to 10,983,621.38 and 23,620,181.63

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Solution

The third proportional to 10,983,621.38 and 23,620,181.63 is: 50,794,993.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,983,621.38 : 23,620,181.63 = 23,620,181.63 : x
  2. Step 2: Convert to fraction form
    10,983,621.38/23,620,181.63 = 23,620,181.63/x
  3. Step 3: Cross multiply
    10,983,621.38x = 23,620,181.63 × 23,620,181.63
  4. Step 4: Simplify right side
    10,983,621.38x = 557,912,979,997,987.62
  5. Step 5: Solve for x
    x = 557,912,979,997,987.62/10,983,621.38
  6. Step 6: Final answer
    x = 50,794,993.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.