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Finding the Third Proportional to 207,941 and 313,391

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Solution

The third proportional to 207,941 and 313,391 is: 472,316.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,941 : 313,391 = 313,391 : x
  2. Step 2: Convert to fraction form
    207,941/313,391 = 313,391/x
  3. Step 3: Cross multiply
    207,941x = 313,391 × 313,391
  4. Step 4: Simplify right side
    207,941x = 98,213,918,881
  5. Step 5: Solve for x
    x = 98,213,918,881/207,941
  6. Step 6: Final answer
    x = 472,316.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.