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Finding the Third Proportional to 200,868 and 436,688

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Solution

The third proportional to 200,868 and 436,688 is: 949,361.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,868 : 436,688 = 436,688 : x
  2. Step 2: Convert to fraction form
    200,868/436,688 = 436,688/x
  3. Step 3: Cross multiply
    200,868x = 436,688 × 436,688
  4. Step 4: Simplify right side
    200,868x = 190,696,409,344
  5. Step 5: Solve for x
    x = 190,696,409,344/200,868
  6. Step 6: Final answer
    x = 949,361.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.