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Finding the Third Proportional to 397,803 and 874,518

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Solution

The third proportional to 397,803 and 874,518 is: 1,922,513.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,803 : 874,518 = 874,518 : x
  2. Step 2: Convert to fraction form
    397,803/874,518 = 874,518/x
  3. Step 3: Cross multiply
    397,803x = 874,518 × 874,518
  4. Step 4: Simplify right side
    397,803x = 764,781,732,324
  5. Step 5: Solve for x
    x = 764,781,732,324/397,803
  6. Step 6: Final answer
    x = 1,922,513.74

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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.