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Finding the Third Proportional to 305,650 and 422,322

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Solution

The third proportional to 305,650 and 422,322 is: 583,529.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,650 : 422,322 = 422,322 : x
  2. Step 2: Convert to fraction form
    305,650/422,322 = 422,322/x
  3. Step 3: Cross multiply
    305,650x = 422,322 × 422,322
  4. Step 4: Simplify right side
    305,650x = 178,355,871,684
  5. Step 5: Solve for x
    x = 178,355,871,684/305,650
  6. Step 6: Final answer
    x = 583,529.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.