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Finding the Third Proportional to 289,992 and 614,800

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Solution

The third proportional to 289,992 and 614,800 is: 1,303,411.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,992 : 614,800 = 614,800 : x
  2. Step 2: Convert to fraction form
    289,992/614,800 = 614,800/x
  3. Step 3: Cross multiply
    289,992x = 614,800 × 614,800
  4. Step 4: Simplify right side
    289,992x = 377,979,040,000
  5. Step 5: Solve for x
    x = 377,979,040,000/289,992
  6. Step 6: Final answer
    x = 1,303,411.96

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.