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Finding the Third Proportional to 219,796 and 342,815

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Solution

The third proportional to 219,796 and 342,815 is: 534,687.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,796 : 342,815 = 342,815 : x
  2. Step 2: Convert to fraction form
    219,796/342,815 = 342,815/x
  3. Step 3: Cross multiply
    219,796x = 342,815 × 342,815
  4. Step 4: Simplify right side
    219,796x = 117,522,124,225
  5. Step 5: Solve for x
    x = 117,522,124,225/219,796
  6. Step 6: Final answer
    x = 534,687.27

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.