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Finding the Third Proportional to 204,836 and 423,880

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Solution

The third proportional to 204,836 and 423,880 is: 877,161.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,836 : 423,880 = 423,880 : x
  2. Step 2: Convert to fraction form
    204,836/423,880 = 423,880/x
  3. Step 3: Cross multiply
    204,836x = 423,880 × 423,880
  4. Step 4: Simplify right side
    204,836x = 179,674,254,400
  5. Step 5: Solve for x
    x = 179,674,254,400/204,836
  6. Step 6: Final answer
    x = 877,161.51

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.