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Finding the Third Proportional to 122,106 and 253,566

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Solution

The third proportional to 122,106 and 253,566 is: 526,556.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,106 : 253,566 = 253,566 : x
  2. Step 2: Convert to fraction form
    122,106/253,566 = 253,566/x
  3. Step 3: Cross multiply
    122,106x = 253,566 × 253,566
  4. Step 4: Simplify right side
    122,106x = 64,295,716,356
  5. Step 5: Solve for x
    x = 64,295,716,356/122,106
  6. Step 6: Final answer
    x = 526,556.57

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.