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Finding the Third Proportional to 319,435 and 683,191

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Solution

The third proportional to 319,435 and 683,191 is: 1,461,173.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,435 : 683,191 = 683,191 : x
  2. Step 2: Convert to fraction form
    319,435/683,191 = 683,191/x
  3. Step 3: Cross multiply
    319,435x = 683,191 × 683,191
  4. Step 4: Simplify right side
    319,435x = 466,749,942,481
  5. Step 5: Solve for x
    x = 466,749,942,481/319,435
  6. Step 6: Final answer
    x = 1,461,173.45

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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.