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Finding the Third Proportional to 2,116,665 and 3,179,769.75

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Solution

The third proportional to 2,116,665 and 3,179,769.75 is: 4,776,823.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116,665 : 3,179,769.75 = 3,179,769.75 : x
  2. Step 2: Convert to fraction form
    2,116,665/3,179,769.75 = 3,179,769.75/x
  3. Step 3: Cross multiply
    2,116,665x = 3,179,769.75 × 3,179,769.75
  4. Step 4: Simplify right side
    2,116,665x = 10,110,935,663,015.06
  5. Step 5: Solve for x
    x = 10,110,935,663,015.06/2,116,665
  6. Step 6: Final answer
    x = 4,776,823.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.