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Finding the Third Proportional to 121,176 and 259,200

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Solution

The third proportional to 121,176 and 259,200 is: 554,438.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,176 : 259,200 = 259,200 : x
  2. Step 2: Convert to fraction form
    121,176/259,200 = 259,200/x
  3. Step 3: Cross multiply
    121,176x = 259,200 × 259,200
  4. Step 4: Simplify right side
    121,176x = 67,184,640,000
  5. Step 5: Solve for x
    x = 67,184,640,000/121,176
  6. Step 6: Final answer
    x = 554,438.50

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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.