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Finding the Third Proportional to 359,293 and 782,375

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Solution

The third proportional to 359,293 and 782,375 is: 1,703,653.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,293 : 782,375 = 782,375 : x
  2. Step 2: Convert to fraction form
    359,293/782,375 = 782,375/x
  3. Step 3: Cross multiply
    359,293x = 782,375 × 782,375
  4. Step 4: Simplify right side
    359,293x = 612,110,640,625
  5. Step 5: Solve for x
    x = 612,110,640,625/359,293
  6. Step 6: Final answer
    x = 1,703,653.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.