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Finding the Third Proportional to 728,519 and 1,085,305

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Solution

The third proportional to 728,519 and 1,085,305 is: 1,616,823.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,519 : 1,085,305 = 1,085,305 : x
  2. Step 2: Convert to fraction form
    728,519/1,085,305 = 1,085,305/x
  3. Step 3: Cross multiply
    728,519x = 1,085,305 × 1,085,305
  4. Step 4: Simplify right side
    728,519x = 1,177,886,943,025
  5. Step 5: Solve for x
    x = 1,177,886,943,025/728,519
  6. Step 6: Final answer
    x = 1,616,823.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.