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Finding the Third Proportional to 207,245 and 320,030

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Solution

The third proportional to 207,245 and 320,030 is: 494,193.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,245 : 320,030 = 320,030 : x
  2. Step 2: Convert to fraction form
    207,245/320,030 = 320,030/x
  3. Step 3: Cross multiply
    207,245x = 320,030 × 320,030
  4. Step 4: Simplify right side
    207,245x = 102,419,200,900
  5. Step 5: Solve for x
    x = 102,419,200,900/207,245
  6. Step 6: Final answer
    x = 494,193.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.