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Finding the Third Proportional to 207,948 and 313,400

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Solution

The third proportional to 207,948 and 313,400 is: 472,327.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,948 : 313,400 = 313,400 : x
  2. Step 2: Convert to fraction form
    207,948/313,400 = 313,400/x
  3. Step 3: Cross multiply
    207,948x = 313,400 × 313,400
  4. Step 4: Simplify right side
    207,948x = 98,219,560,000
  5. Step 5: Solve for x
    x = 98,219,560,000/207,948
  6. Step 6: Final answer
    x = 472,327.50

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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.