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Finding the Third Proportional to 289,764 and 610,992

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Solution

The third proportional to 289,764 and 610,992 is: 1,288,328.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,764 : 610,992 = 610,992 : x
  2. Step 2: Convert to fraction form
    289,764/610,992 = 610,992/x
  3. Step 3: Cross multiply
    289,764x = 610,992 × 610,992
  4. Step 4: Simplify right side
    289,764x = 373,311,224,064
  5. Step 5: Solve for x
    x = 373,311,224,064/289,764
  6. Step 6: Final answer
    x = 1,288,328.52

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.