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Finding the Third Proportional to 328,990 and 707,876

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Solution

The third proportional to 328,990 and 707,876 is: 1,523,111.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,990 : 707,876 = 707,876 : x
  2. Step 2: Convert to fraction form
    328,990/707,876 = 707,876/x
  3. Step 3: Cross multiply
    328,990x = 707,876 × 707,876
  4. Step 4: Simplify right side
    328,990x = 501,088,431,376
  5. Step 5: Solve for x
    x = 501,088,431,376/328,990
  6. Step 6: Final answer
    x = 1,523,111.44

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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.