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Finding the Third Proportional to 2,589,489 and 5,390,023.50

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Solution

The third proportional to 2,589,489 and 5,390,023.50 is: 11,219,338.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589,489 : 5,390,023.50 = 5,390,023.50 : x
  2. Step 2: Convert to fraction form
    2,589,489/5,390,023.50 = 5,390,023.50/x
  3. Step 3: Cross multiply
    2,589,489x = 5,390,023.50 × 5,390,023.50
  4. Step 4: Simplify right side
    2,589,489x = 29,052,353,330,552.25
  5. Step 5: Solve for x
    x = 29,052,353,330,552.25/2,589,489
  6. Step 6: Final answer
    x = 11,219,338.38

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.