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Finding the Third Proportional to 402,372 and 603,606

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Solution

The third proportional to 402,372 and 603,606 is: 905,481.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,372 : 603,606 = 603,606 : x
  2. Step 2: Convert to fraction form
    402,372/603,606 = 603,606/x
  3. Step 3: Cross multiply
    402,372x = 603,606 × 603,606
  4. Step 4: Simplify right side
    402,372x = 364,340,203,236
  5. Step 5: Solve for x
    x = 364,340,203,236/402,372
  6. Step 6: Final answer
    x = 905,481.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.