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Finding the Third Proportional to 127,920 and 260,928

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Solution

The third proportional to 127,920 and 260,928 is: 532,234.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,920 : 260,928 = 260,928 : x
  2. Step 2: Convert to fraction form
    127,920/260,928 = 260,928/x
  3. Step 3: Cross multiply
    127,920x = 260,928 × 260,928
  4. Step 4: Simplify right side
    127,920x = 68,083,421,184
  5. Step 5: Solve for x
    x = 68,083,421,184/127,920
  6. Step 6: Final answer
    x = 532,234.37

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.