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Finding the Third Proportional to 129,618 and 201,170

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Solution

The third proportional to 129,618 and 201,170 is: 312,220.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,618 : 201,170 = 201,170 : x
  2. Step 2: Convert to fraction form
    129,618/201,170 = 201,170/x
  3. Step 3: Cross multiply
    129,618x = 201,170 × 201,170
  4. Step 4: Simplify right side
    129,618x = 40,469,368,900
  5. Step 5: Solve for x
    x = 40,469,368,900/129,618
  6. Step 6: Final answer
    x = 312,220.28

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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.