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Finding the Third Proportional to 92,256 and 200,640

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Solution

The third proportional to 92,256 and 200,640 is: 436,355.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,256 : 200,640 = 200,640 : x
  2. Step 2: Convert to fraction form
    92,256/200,640 = 200,640/x
  3. Step 3: Cross multiply
    92,256x = 200,640 × 200,640
  4. Step 4: Simplify right side
    92,256x = 40,256,409,600
  5. Step 5: Solve for x
    x = 40,256,409,600/92,256
  6. Step 6: Final answer
    x = 436,355.46

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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.