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Finding the Third Proportional to 70,682 and 153,829

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Solution

The third proportional to 70,682 and 153,829 is: 334,786.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,682 : 153,829 = 153,829 : x
  2. Step 2: Convert to fraction form
    70,682/153,829 = 153,829/x
  3. Step 3: Cross multiply
    70,682x = 153,829 × 153,829
  4. Step 4: Simplify right side
    70,682x = 23,663,361,241
  5. Step 5: Solve for x
    x = 23,663,361,241/70,682
  6. Step 6: Final answer
    x = 334,786.24

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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.