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Finding the Third Proportional to 603,614 and 905,495

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Solution

The third proportional to 603,614 and 905,495 is: 1,358,353.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,614 : 905,495 = 905,495 : x
  2. Step 2: Convert to fraction form
    603,614/905,495 = 905,495/x
  3. Step 3: Cross multiply
    603,614x = 905,495 × 905,495
  4. Step 4: Simplify right side
    603,614x = 819,921,195,025
  5. Step 5: Solve for x
    x = 819,921,195,025/603,614
  6. Step 6: Final answer
    x = 1,358,353.51

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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.