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Finding the Third Proportional to 445,123 and 943,220

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Solution

The third proportional to 445,123 and 943,220 is: 1,998,692.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,123 : 943,220 = 943,220 : x
  2. Step 2: Convert to fraction form
    445,123/943,220 = 943,220/x
  3. Step 3: Cross multiply
    445,123x = 943,220 × 943,220
  4. Step 4: Simplify right side
    445,123x = 889,663,968,400
  5. Step 5: Solve for x
    x = 889,663,968,400/445,123
  6. Step 6: Final answer
    x = 1,998,692.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.