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Finding the Third Proportional to 728,190 and 1,485,297

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Solution

The third proportional to 728,190 and 1,485,297 is: 3,029,576.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,190 : 1,485,297 = 1,485,297 : x
  2. Step 2: Convert to fraction form
    728,190/1,485,297 = 1,485,297/x
  3. Step 3: Cross multiply
    728,190x = 1,485,297 × 1,485,297
  4. Step 4: Simplify right side
    728,190x = 2,206,107,178,209
  5. Step 5: Solve for x
    x = 2,206,107,178,209/728,190
  6. Step 6: Final answer
    x = 3,029,576.32

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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.