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Finding the Third Proportional to 70,740 and 153,756

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Solution

The third proportional to 70,740 and 153,756 is: 334,194.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,740 : 153,756 = 153,756 : x
  2. Step 2: Convert to fraction form
    70,740/153,756 = 153,756/x
  3. Step 3: Cross multiply
    70,740x = 153,756 × 153,756
  4. Step 4: Simplify right side
    70,740x = 23,640,907,536
  5. Step 5: Solve for x
    x = 23,640,907,536/70,740
  6. Step 6: Final answer
    x = 334,194.34

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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.