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Finding the Third Proportional to 129,620 and 201,173

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Solution

The third proportional to 129,620 and 201,173 is: 312,224.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,620 : 201,173 = 201,173 : x
  2. Step 2: Convert to fraction form
    129,620/201,173 = 201,173/x
  3. Step 3: Cross multiply
    129,620x = 201,173 × 201,173
  4. Step 4: Simplify right side
    129,620x = 40,470,575,929
  5. Step 5: Solve for x
    x = 40,470,575,929/129,620
  6. Step 6: Final answer
    x = 312,224.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.