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Finding the Third Proportional to 120,855 and 259,200

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Solution

The third proportional to 120,855 and 259,200 is: 555,911.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,855 : 259,200 = 259,200 : x
  2. Step 2: Convert to fraction form
    120,855/259,200 = 259,200/x
  3. Step 3: Cross multiply
    120,855x = 259,200 × 259,200
  4. Step 4: Simplify right side
    120,855x = 67,184,640,000
  5. Step 5: Solve for x
    x = 67,184,640,000/120,855
  6. Step 6: Final answer
    x = 555,911.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.