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Finding the Third Proportional to 1,723,750 and 3,496,747

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Solution

The third proportional to 1,723,750 and 3,496,747 is: 7,093,394.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723,750 : 3,496,747 = 3,496,747 : x
  2. Step 2: Convert to fraction form
    1,723,750/3,496,747 = 3,496,747/x
  3. Step 3: Cross multiply
    1,723,750x = 3,496,747 × 3,496,747
  4. Step 4: Simplify right side
    1,723,750x = 12,227,239,582,009
  5. Step 5: Solve for x
    x = 12,227,239,582,009/1,723,750
  6. Step 6: Final answer
    x = 7,093,394.97

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.