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Finding the Third Proportional to 328,989 and 707,874

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Solution

The third proportional to 328,989 and 707,874 is: 1,523,107.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,989 : 707,874 = 707,874 : x
  2. Step 2: Convert to fraction form
    328,989/707,874 = 707,874/x
  3. Step 3: Cross multiply
    328,989x = 707,874 × 707,874
  4. Step 4: Simplify right side
    328,989x = 501,085,599,876
  5. Step 5: Solve for x
    x = 501,085,599,876/328,989
  6. Step 6: Final answer
    x = 1,523,107.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.