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Finding the Third Proportional to 322,828 and 472,780

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Solution

The third proportional to 322,828 and 472,780 is: 692,383.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,828 : 472,780 = 472,780 : x
  2. Step 2: Convert to fraction form
    322,828/472,780 = 472,780/x
  3. Step 3: Cross multiply
    322,828x = 472,780 × 472,780
  4. Step 4: Simplify right side
    322,828x = 223,520,928,400
  5. Step 5: Solve for x
    x = 223,520,928,400/322,828
  6. Step 6: Final answer
    x = 692,383.96

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.