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Finding the Third Proportional to 319,503 and 683,888

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Solution

The third proportional to 319,503 and 683,888 is: 1,463,844.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,503 : 683,888 = 683,888 : x
  2. Step 2: Convert to fraction form
    319,503/683,888 = 683,888/x
  3. Step 3: Cross multiply
    319,503x = 683,888 × 683,888
  4. Step 4: Simplify right side
    319,503x = 467,702,796,544
  5. Step 5: Solve for x
    x = 467,702,796,544/319,503
  6. Step 6: Final answer
    x = 1,463,844.77

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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.