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Finding the Third Proportional to 200,618 and 437,200

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Solution

The third proportional to 200,618 and 437,200 is: 952,775.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,618 : 437,200 = 437,200 : x
  2. Step 2: Convert to fraction form
    200,618/437,200 = 437,200/x
  3. Step 3: Cross multiply
    200,618x = 437,200 × 437,200
  4. Step 4: Simplify right side
    200,618x = 191,143,840,000
  5. Step 5: Solve for x
    x = 191,143,840,000/200,618
  6. Step 6: Final answer
    x = 952,775.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.