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Finding the Third Proportional to 311,683 and 415,968

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Solution

The third proportional to 311,683 and 415,968 is: 555,145.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,683 : 415,968 = 415,968 : x
  2. Step 2: Convert to fraction form
    311,683/415,968 = 415,968/x
  3. Step 3: Cross multiply
    311,683x = 415,968 × 415,968
  4. Step 4: Simplify right side
    311,683x = 173,029,377,024
  5. Step 5: Solve for x
    x = 173,029,377,024/311,683
  6. Step 6: Final answer
    x = 555,145.38

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.