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Finding the Third Proportional to 122,328 and 264,240

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Solution

The third proportional to 122,328 and 264,240 is: 570,783.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,328 : 264,240 = 264,240 : x
  2. Step 2: Convert to fraction form
    122,328/264,240 = 264,240/x
  3. Step 3: Cross multiply
    122,328x = 264,240 × 264,240
  4. Step 4: Simplify right side
    122,328x = 69,822,777,600
  5. Step 5: Solve for x
    x = 69,822,777,600/122,328
  6. Step 6: Final answer
    x = 570,783.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.