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Finding the Third Proportional to 200,618 and 311,639

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Solution

The third proportional to 200,618 and 311,639 is: 484,098.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,618 : 311,639 = 311,639 : x
  2. Step 2: Convert to fraction form
    200,618/311,639 = 311,639/x
  3. Step 3: Cross multiply
    200,618x = 311,639 × 311,639
  4. Step 4: Simplify right side
    200,618x = 97,118,866,321
  5. Step 5: Solve for x
    x = 97,118,866,321/200,618
  6. Step 6: Final answer
    x = 484,098.47

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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.