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Finding the Third Proportional to 109,505 and 235,378

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Solution

The third proportional to 109,505 and 235,378 is: 505,938.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,505 : 235,378 = 235,378 : x
  2. Step 2: Convert to fraction form
    109,505/235,378 = 235,378/x
  3. Step 3: Cross multiply
    109,505x = 235,378 × 235,378
  4. Step 4: Simplify right side
    109,505x = 55,402,802,884
  5. Step 5: Solve for x
    x = 55,402,802,884/109,505
  6. Step 6: Final answer
    x = 505,938.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.