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Finding the Third Proportional to 163,398 and 343,284

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Solution

The third proportional to 163,398 and 343,284 is: 721,207.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,398 : 343,284 = 343,284 : x
  2. Step 2: Convert to fraction form
    163,398/343,284 = 343,284/x
  3. Step 3: Cross multiply
    163,398x = 343,284 × 343,284
  4. Step 4: Simplify right side
    163,398x = 117,843,904,656
  5. Step 5: Solve for x
    x = 117,843,904,656/163,398
  6. Step 6: Final answer
    x = 721,207.75

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