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Finding the Third Proportional to 579,005 and 1,275,805

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Solution

The third proportional to 579,005 and 1,275,805 is: 2,811,164.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,005 : 1,275,805 = 1,275,805 : x
  2. Step 2: Convert to fraction form
    579,005/1,275,805 = 1,275,805/x
  3. Step 3: Cross multiply
    579,005x = 1,275,805 × 1,275,805
  4. Step 4: Simplify right side
    579,005x = 1,627,678,398,025
  5. Step 5: Solve for x
    x = 1,627,678,398,025/579,005
  6. Step 6: Final answer
    x = 2,811,164.67

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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.