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Finding the Third Proportional to 235,440 and 512,912

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Solution

The third proportional to 235,440 and 512,912 is: 1,117,391.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,440 : 512,912 = 512,912 : x
  2. Step 2: Convert to fraction form
    235,440/512,912 = 512,912/x
  3. Step 3: Cross multiply
    235,440x = 512,912 × 512,912
  4. Step 4: Simplify right side
    235,440x = 263,078,719,744
  5. Step 5: Solve for x
    x = 263,078,719,744/235,440
  6. Step 6: Final answer
    x = 1,117,391.78

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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.