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Finding the Third Proportional to 162,717 and 342,930

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Solution

The third proportional to 162,717 and 342,930 is: 722,733.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,717 : 342,930 = 342,930 : x
  2. Step 2: Convert to fraction form
    162,717/342,930 = 342,930/x
  3. Step 3: Cross multiply
    162,717x = 342,930 × 342,930
  4. Step 4: Simplify right side
    162,717x = 117,600,984,900
  5. Step 5: Solve for x
    x = 117,600,984,900/162,717
  6. Step 6: Final answer
    x = 722,733.24

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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.