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Finding the Third Proportional to 208,560 and 298,872

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Solution

The third proportional to 208,560 and 298,872 is: 428,291.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,560 : 298,872 = 298,872 : x
  2. Step 2: Convert to fraction form
    208,560/298,872 = 298,872/x
  3. Step 3: Cross multiply
    208,560x = 298,872 × 298,872
  4. Step 4: Simplify right side
    208,560x = 89,324,472,384
  5. Step 5: Solve for x
    x = 89,324,472,384/208,560
  6. Step 6: Final answer
    x = 428,291.49

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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.