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Finding the Third Proportional to 118,242 and 262,728

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Solution

The third proportional to 118,242 and 262,728 is: 583,768.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,242 : 262,728 = 262,728 : x
  2. Step 2: Convert to fraction form
    118,242/262,728 = 262,728/x
  3. Step 3: Cross multiply
    118,242x = 262,728 × 262,728
  4. Step 4: Simplify right side
    118,242x = 69,026,001,984
  5. Step 5: Solve for x
    x = 69,026,001,984/118,242
  6. Step 6: Final answer
    x = 583,768.90

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.