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Finding the Third Proportional to 312,223 and 671,807

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Solution

The third proportional to 312,223 and 671,807 is: 1,445,520.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,223 : 671,807 = 671,807 : x
  2. Step 2: Convert to fraction form
    312,223/671,807 = 671,807/x
  3. Step 3: Cross multiply
    312,223x = 671,807 × 671,807
  4. Step 4: Simplify right side
    312,223x = 451,324,645,249
  5. Step 5: Solve for x
    x = 451,324,645,249/312,223
  6. Step 6: Final answer
    x = 1,445,520.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.