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Finding the Third Proportional to 122,333.50 and 259,368

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Solution

The third proportional to 122,333.50 and 259,368 is: 549,904.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,333.50 : 259,368 = 259,368 : x
  2. Step 2: Convert to fraction form
    122,333.50/259,368 = 259,368/x
  3. Step 3: Cross multiply
    122,333.50x = 259,368 × 259,368
  4. Step 4: Simplify right side
    122,333.50x = 67,271,759,424
  5. Step 5: Solve for x
    x = 67,271,759,424/122,333.50
  6. Step 6: Final answer
    x = 549,904.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.