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Finding the Third Proportional to 319,437 and 683,195

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Solution

The third proportional to 319,437 and 683,195 is: 1,461,181.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,437 : 683,195 = 683,195 : x
  2. Step 2: Convert to fraction form
    319,437/683,195 = 683,195/x
  3. Step 3: Cross multiply
    319,437x = 683,195 × 683,195
  4. Step 4: Simplify right side
    319,437x = 466,755,408,025
  5. Step 5: Solve for x
    x = 466,755,408,025/319,437
  6. Step 6: Final answer
    x = 1,461,181.42

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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.