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Finding the Third Proportional to 127,872 and 298,668

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Solution

The third proportional to 127,872 and 298,668 is: 697,592.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,872 : 298,668 = 298,668 : x
  2. Step 2: Convert to fraction form
    127,872/298,668 = 298,668/x
  3. Step 3: Cross multiply
    127,872x = 298,668 × 298,668
  4. Step 4: Simplify right side
    127,872x = 89,202,574,224
  5. Step 5: Solve for x
    x = 89,202,574,224/127,872
  6. Step 6: Final answer
    x = 697,592.70

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.