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Finding the Third Proportional to 5,100,610.50 and 10,776,867.75

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Solution

The third proportional to 5,100,610.50 and 10,776,867.75 is: 22,769,995.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,100,610.50 : 10,776,867.75 = 10,776,867.75 : x
  2. Step 2: Convert to fraction form
    5,100,610.50/10,776,867.75 = 10,776,867.75/x
  3. Step 3: Cross multiply
    5,100,610.50x = 10,776,867.75 × 10,776,867.75
  4. Step 4: Simplify right side
    5,100,610.50x = 116,140,878,500,990.06
  5. Step 5: Solve for x
    x = 116,140,878,500,990.06/5,100,610.50
  6. Step 6: Final answer
    x = 22,769,995.57

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.