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Finding the Third Proportional to 328,839 and 707,586

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Solution

The third proportional to 328,839 and 707,586 is: 1,522,562.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,839 : 707,586 = 707,586 : x
  2. Step 2: Convert to fraction form
    328,839/707,586 = 707,586/x
  3. Step 3: Cross multiply
    328,839x = 707,586 × 707,586
  4. Step 4: Simplify right side
    328,839x = 500,677,947,396
  5. Step 5: Solve for x
    x = 500,677,947,396/328,839
  6. Step 6: Final answer
    x = 1,522,562.55

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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.