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Finding the Third Proportional to 680,400 and 1,479,024

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Solution

The third proportional to 680,400 and 1,479,024 is: 3,215,038.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,400 : 1,479,024 = 1,479,024 : x
  2. Step 2: Convert to fraction form
    680,400/1,479,024 = 1,479,024/x
  3. Step 3: Cross multiply
    680,400x = 1,479,024 × 1,479,024
  4. Step 4: Simplify right side
    680,400x = 2,187,511,992,576
  5. Step 5: Solve for x
    x = 2,187,511,992,576/680,400
  6. Step 6: Final answer
    x = 3,215,038.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.