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Finding the Third Proportional to 163,686 and 343,896

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Solution

The third proportional to 163,686 and 343,896 is: 722,508.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,686 : 343,896 = 343,896 : x
  2. Step 2: Convert to fraction form
    163,686/343,896 = 343,896/x
  3. Step 3: Cross multiply
    163,686x = 343,896 × 343,896
  4. Step 4: Simplify right side
    163,686x = 118,264,458,816
  5. Step 5: Solve for x
    x = 118,264,458,816/163,686
  6. Step 6: Final answer
    x = 722,508.09

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.