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Finding the Third Proportional to 321,880 and 692,848

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Solution

The third proportional to 321,880 and 692,848 is: 1,491,358.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,880 : 692,848 = 692,848 : x
  2. Step 2: Convert to fraction form
    321,880/692,848 = 692,848/x
  3. Step 3: Cross multiply
    321,880x = 692,848 × 692,848
  4. Step 4: Simplify right side
    321,880x = 480,038,351,104
  5. Step 5: Solve for x
    x = 480,038,351,104/321,880
  6. Step 6: Final answer
    x = 1,491,358.12

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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.