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Finding the Third Proportional to 208,640 and 298,992

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Solution

The third proportional to 208,640 and 298,992 is: 428,471.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,640 : 298,992 = 298,992 : x
  2. Step 2: Convert to fraction form
    208,640/298,992 = 298,992/x
  3. Step 3: Cross multiply
    208,640x = 298,992 × 298,992
  4. Step 4: Simplify right side
    208,640x = 89,396,216,064
  5. Step 5: Solve for x
    x = 89,396,216,064/208,640
  6. Step 6: Final answer
    x = 428,471.13

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.