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Finding the Third Proportional to 578,991 and 1,275,774

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Solution

The third proportional to 578,991 and 1,275,774 is: 2,811,096.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,991 : 1,275,774 = 1,275,774 : x
  2. Step 2: Convert to fraction form
    578,991/1,275,774 = 1,275,774/x
  3. Step 3: Cross multiply
    578,991x = 1,275,774 × 1,275,774
  4. Step 4: Simplify right side
    578,991x = 1,627,599,299,076
  5. Step 5: Solve for x
    x = 1,627,599,299,076/578,991
  6. Step 6: Final answer
    x = 2,811,096.03

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.