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Finding the Third Proportional to 329,811 and 722,747

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Solution

The third proportional to 329,811 and 722,747 is: 1,583,825.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,811 : 722,747 = 722,747 : x
  2. Step 2: Convert to fraction form
    329,811/722,747 = 722,747/x
  3. Step 3: Cross multiply
    329,811x = 722,747 × 722,747
  4. Step 4: Simplify right side
    329,811x = 522,363,226,009
  5. Step 5: Solve for x
    x = 522,363,226,009/329,811
  6. Step 6: Final answer
    x = 1,583,825.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.