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Finding the Third Proportional to 427,572 and 903,204

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Solution

The third proportional to 427,572 and 903,204 is: 1,907,930.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,572 : 903,204 = 903,204 : x
  2. Step 2: Convert to fraction form
    427,572/903,204 = 903,204/x
  3. Step 3: Cross multiply
    427,572x = 903,204 × 903,204
  4. Step 4: Simplify right side
    427,572x = 815,777,465,616
  5. Step 5: Solve for x
    x = 815,777,465,616/427,572
  6. Step 6: Final answer
    x = 1,907,930.05

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.