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Finding the Third Proportional to 106,370 and 218,222

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Solution

The third proportional to 106,370 and 218,222 is: 447,690.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,370 : 218,222 = 218,222 : x
  2. Step 2: Convert to fraction form
    106,370/218,222 = 218,222/x
  3. Step 3: Cross multiply
    106,370x = 218,222 × 218,222
  4. Step 4: Simplify right side
    106,370x = 47,620,841,284
  5. Step 5: Solve for x
    x = 47,620,841,284/106,370
  6. Step 6: Final answer
    x = 447,690.53

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.