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Finding the Third Proportional to 122,718 and 259,582

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Solution

The third proportional to 122,718 and 259,582 is: 549,086.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,718 : 259,582 = 259,582 : x
  2. Step 2: Convert to fraction form
    122,718/259,582 = 259,582/x
  3. Step 3: Cross multiply
    122,718x = 259,582 × 259,582
  4. Step 4: Simplify right side
    122,718x = 67,382,814,724
  5. Step 5: Solve for x
    x = 67,382,814,724/122,718
  6. Step 6: Final answer
    x = 549,086.64

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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.