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Finding the Third Proportional to 728,406 and 1,485,702

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Solution

The third proportional to 728,406 and 1,485,702 is: 3,030,329.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,406 : 1,485,702 = 1,485,702 : x
  2. Step 2: Convert to fraction form
    728,406/1,485,702 = 1,485,702/x
  3. Step 3: Cross multiply
    728,406x = 1,485,702 × 1,485,702
  4. Step 4: Simplify right side
    728,406x = 2,207,310,432,804
  5. Step 5: Solve for x
    x = 2,207,310,432,804/728,406
  6. Step 6: Final answer
    x = 3,030,329.83

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.