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Finding the Third Proportional to 338,686 and 746,480

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Solution

The third proportional to 338,686 and 746,480 is: 1,645,277.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,686 : 746,480 = 746,480 : x
  2. Step 2: Convert to fraction form
    338,686/746,480 = 746,480/x
  3. Step 3: Cross multiply
    338,686x = 746,480 × 746,480
  4. Step 4: Simplify right side
    338,686x = 557,232,390,400
  5. Step 5: Solve for x
    x = 557,232,390,400/338,686
  6. Step 6: Final answer
    x = 1,645,277.31

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.