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Finding the Third Proportional to 319,519.69 and 683,913.38

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Solution

The third proportional to 319,519.69 and 683,913.38 is: 1,463,876.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,519.69 : 683,913.38 = 683,913.38 : x
  2. Step 2: Convert to fraction form
    319,519.69/683,913.38 = 683,913.38/x
  3. Step 3: Cross multiply
    319,519.69x = 683,913.38 × 683,913.38
  4. Step 4: Simplify right side
    319,519.69x = 467,737,504,503.89
  5. Step 5: Solve for x
    x = 467,737,504,503.89/319,519.69
  6. Step 6: Final answer
    x = 1,463,876.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.