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Finding the Third Proportional to 328,975 and 707,846

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Solution

The third proportional to 328,975 and 707,846 is: 1,523,051.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,975 : 707,846 = 707,846 : x
  2. Step 2: Convert to fraction form
    328,975/707,846 = 707,846/x
  3. Step 3: Cross multiply
    328,975x = 707,846 × 707,846
  4. Step 4: Simplify right side
    328,975x = 501,045,959,716
  5. Step 5: Solve for x
    x = 501,045,959,716/328,975
  6. Step 6: Final answer
    x = 1,523,051.78

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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.