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Finding the Third Proportional to 678,992 and 1,474,758

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Solution

The third proportional to 678,992 and 1,474,758 is: 3,203,146.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,992 : 1,474,758 = 1,474,758 : x
  2. Step 2: Convert to fraction form
    678,992/1,474,758 = 1,474,758/x
  3. Step 3: Cross multiply
    678,992x = 1,474,758 × 1,474,758
  4. Step 4: Simplify right side
    678,992x = 2,174,911,158,564
  5. Step 5: Solve for x
    x = 2,174,911,158,564/678,992
  6. Step 6: Final answer
    x = 3,203,146.96

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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.