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Finding the Third Proportional to 77,260 and 162,823

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Solution

The third proportional to 77,260 and 162,823 is: 343,144.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,260 : 162,823 = 162,823 : x
  2. Step 2: Convert to fraction form
    77,260/162,823 = 162,823/x
  3. Step 3: Cross multiply
    77,260x = 162,823 × 162,823
  4. Step 4: Simplify right side
    77,260x = 26,511,329,329
  5. Step 5: Solve for x
    x = 26,511,329,329/77,260
  6. Step 6: Final answer
    x = 343,144.31

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.