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Finding the Third Proportional to 122,286 and 160,805

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Solution

The third proportional to 122,286 and 160,805 is: 211,457.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,286 : 160,805 = 160,805 : x
  2. Step 2: Convert to fraction form
    122,286/160,805 = 160,805/x
  3. Step 3: Cross multiply
    122,286x = 160,805 × 160,805
  4. Step 4: Simplify right side
    122,286x = 25,858,248,025
  5. Step 5: Solve for x
    x = 25,858,248,025/122,286
  6. Step 6: Final answer
    x = 211,457.14

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.