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Finding the Third Proportional to 70,851 and 153,339

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Solution

The third proportional to 70,851 and 153,339 is: 331,863.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,851 : 153,339 = 153,339 : x
  2. Step 2: Convert to fraction form
    70,851/153,339 = 153,339/x
  3. Step 3: Cross multiply
    70,851x = 153,339 × 153,339
  4. Step 4: Simplify right side
    70,851x = 23,512,848,921
  5. Step 5: Solve for x
    x = 23,512,848,921/70,851
  6. Step 6: Final answer
    x = 331,863.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.