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Finding the Third Proportional to 207,126 and 448,104

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Solution

The third proportional to 207,126 and 448,104 is: 969,444.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,126 : 448,104 = 448,104 : x
  2. Step 2: Convert to fraction form
    207,126/448,104 = 448,104/x
  3. Step 3: Cross multiply
    207,126x = 448,104 × 448,104
  4. Step 4: Simplify right side
    207,126x = 200,797,194,816
  5. Step 5: Solve for x
    x = 200,797,194,816/207,126
  6. Step 6: Final answer
    x = 969,444.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.