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Finding the Third Proportional to 726,213 and 1,538,811

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Solution

The third proportional to 726,213 and 1,538,811 is: 3,260,667.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,213 : 1,538,811 = 1,538,811 : x
  2. Step 2: Convert to fraction form
    726,213/1,538,811 = 1,538,811/x
  3. Step 3: Cross multiply
    726,213x = 1,538,811 × 1,538,811
  4. Step 4: Simplify right side
    726,213x = 2,367,939,293,721
  5. Step 5: Solve for x
    x = 2,367,939,293,721/726,213
  6. Step 6: Final answer
    x = 3,260,667.73

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.