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Finding the Third Proportional to 122,376 and 259,434

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Solution

The third proportional to 122,376 and 259,434 is: 549,993.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,376 : 259,434 = 259,434 : x
  2. Step 2: Convert to fraction form
    122,376/259,434 = 259,434/x
  3. Step 3: Cross multiply
    122,376x = 259,434 × 259,434
  4. Step 4: Simplify right side
    122,376x = 67,306,000,356
  5. Step 5: Solve for x
    x = 67,306,000,356/122,376
  6. Step 6: Final answer
    x = 549,993.47

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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.