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Finding the Third Proportional to 321,880 and 692,846

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Solution

The third proportional to 321,880 and 692,846 is: 1,491,349.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,880 : 692,846 = 692,846 : x
  2. Step 2: Convert to fraction form
    321,880/692,846 = 692,846/x
  3. Step 3: Cross multiply
    321,880x = 692,846 × 692,846
  4. Step 4: Simplify right side
    321,880x = 480,035,579,716
  5. Step 5: Solve for x
    x = 480,035,579,716/321,880
  6. Step 6: Final answer
    x = 1,491,349.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.