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Finding the Third Proportional to 311,773 and 671,629

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Solution

The third proportional to 311,773 and 671,629 is: 1,446,839.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,773 : 671,629 = 671,629 : x
  2. Step 2: Convert to fraction form
    311,773/671,629 = 671,629/x
  3. Step 3: Cross multiply
    311,773x = 671,629 × 671,629
  4. Step 4: Simplify right side
    311,773x = 451,085,513,641
  5. Step 5: Solve for x
    x = 451,085,513,641/311,773
  6. Step 6: Final answer
    x = 1,446,839.57

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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.