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Finding the Third Proportional to 207,422 and 313,043

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Solution

The third proportional to 207,422 and 313,043 is: 472,447.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,422 : 313,043 = 313,043 : x
  2. Step 2: Convert to fraction form
    207,422/313,043 = 313,043/x
  3. Step 3: Cross multiply
    207,422x = 313,043 × 313,043
  4. Step 4: Simplify right side
    207,422x = 97,995,919,849
  5. Step 5: Solve for x
    x = 97,995,919,849/207,422
  6. Step 6: Final answer
    x = 472,447.09

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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.