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Finding the Third Proportional to 343,286 and 717,961

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Solution

The third proportional to 343,286 and 717,961 is: 1,501,570.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,286 : 717,961 = 717,961 : x
  2. Step 2: Convert to fraction form
    343,286/717,961 = 717,961/x
  3. Step 3: Cross multiply
    343,286x = 717,961 × 717,961
  4. Step 4: Simplify right side
    343,286x = 515,467,997,521
  5. Step 5: Solve for x
    x = 515,467,997,521/343,286
  6. Step 6: Final answer
    x = 1,501,570.11

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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.