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Finding the Third Proportional to 217,818 and 346,824

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Solution

The third proportional to 217,818 and 346,824 is: 552,235.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,818 : 346,824 = 346,824 : x
  2. Step 2: Convert to fraction form
    217,818/346,824 = 346,824/x
  3. Step 3: Cross multiply
    217,818x = 346,824 × 346,824
  4. Step 4: Simplify right side
    217,818x = 120,286,886,976
  5. Step 5: Solve for x
    x = 120,286,886,976/217,818
  6. Step 6: Final answer
    x = 552,235.75

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.