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Finding the Third Proportional to 421,400 and 928,692

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Solution

The third proportional to 421,400 and 928,692 is: 2,046,674.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,400 : 928,692 = 928,692 : x
  2. Step 2: Convert to fraction form
    421,400/928,692 = 928,692/x
  3. Step 3: Cross multiply
    421,400x = 928,692 × 928,692
  4. Step 4: Simplify right side
    421,400x = 862,468,830,864
  5. Step 5: Solve for x
    x = 862,468,830,864/421,400
  6. Step 6: Final answer
    x = 2,046,674.97

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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.