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Finding the Third Proportional to 201,123 and 311,618

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Solution

The third proportional to 201,123 and 311,618 is: 482,817.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,123 : 311,618 = 311,618 : x
  2. Step 2: Convert to fraction form
    201,123/311,618 = 311,618/x
  3. Step 3: Cross multiply
    201,123x = 311,618 × 311,618
  4. Step 4: Simplify right side
    201,123x = 97,105,777,924
  5. Step 5: Solve for x
    x = 97,105,777,924/201,123
  6. Step 6: Final answer
    x = 482,817.87

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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.