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Finding the Third Proportional to 120,656 and 259,724

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Solution

The third proportional to 120,656 and 259,724 is: 559,081.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,656 : 259,724 = 259,724 : x
  2. Step 2: Convert to fraction form
    120,656/259,724 = 259,724/x
  3. Step 3: Cross multiply
    120,656x = 259,724 × 259,724
  4. Step 4: Simplify right side
    120,656x = 67,456,556,176
  5. Step 5: Solve for x
    x = 67,456,556,176/120,656
  6. Step 6: Final answer
    x = 559,081.66

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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.