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Finding the Third Proportional to 603,609 and 905,487

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Solution

The third proportional to 603,609 and 905,487 is: 1,358,340.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,609 : 905,487 = 905,487 : x
  2. Step 2: Convert to fraction form
    603,609/905,487 = 905,487/x
  3. Step 3: Cross multiply
    603,609x = 905,487 × 905,487
  4. Step 4: Simplify right side
    603,609x = 819,906,707,169
  5. Step 5: Solve for x
    x = 819,906,707,169/603,609
  6. Step 6: Final answer
    x = 1,358,340.76

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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.