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Finding the Third Proportional to 200,536 and 428,133

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Solution

The third proportional to 200,536 and 428,133 is: 914,039.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,536 : 428,133 = 428,133 : x
  2. Step 2: Convert to fraction form
    200,536/428,133 = 428,133/x
  3. Step 3: Cross multiply
    200,536x = 428,133 × 428,133
  4. Step 4: Simplify right side
    200,536x = 183,297,865,689
  5. Step 5: Solve for x
    x = 183,297,865,689/200,536
  6. Step 6: Final answer
    x = 914,039.70

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.