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Finding the Third Proportional to 120,660 and 259,732

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Solution

The third proportional to 120,660 and 259,732 is: 559,097.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,660 : 259,732 = 259,732 : x
  2. Step 2: Convert to fraction form
    120,660/259,732 = 259,732/x
  3. Step 3: Cross multiply
    120,660x = 259,732 × 259,732
  4. Step 4: Simplify right side
    120,660x = 67,460,711,824
  5. Step 5: Solve for x
    x = 67,460,711,824/120,660
  6. Step 6: Final answer
    x = 559,097.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.