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Finding the Third Proportional to 343,268 and 717,904

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Solution

The third proportional to 343,268 and 717,904 is: 1,501,410.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,268 : 717,904 = 717,904 : x
  2. Step 2: Convert to fraction form
    343,268/717,904 = 717,904/x
  3. Step 3: Cross multiply
    343,268x = 717,904 × 717,904
  4. Step 4: Simplify right side
    343,268x = 515,386,153,216
  5. Step 5: Solve for x
    x = 515,386,153,216/343,268
  6. Step 6: Final answer
    x = 1,501,410.42

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.