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Finding the Third Proportional to 235,698 and 512,378

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Solution

The third proportional to 235,698 and 512,378 is: 1,113,845.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,698 : 512,378 = 512,378 : x
  2. Step 2: Convert to fraction form
    235,698/512,378 = 512,378/x
  3. Step 3: Cross multiply
    235,698x = 512,378 × 512,378
  4. Step 4: Simplify right side
    235,698x = 262,531,214,884
  5. Step 5: Solve for x
    x = 262,531,214,884/235,698
  6. Step 6: Final answer
    x = 1,113,845.75

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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.