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Finding the Third Proportional to 217,742 and 342,168

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Solution

The third proportional to 217,742 and 342,168 is: 537,695.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,742 : 342,168 = 342,168 : x
  2. Step 2: Convert to fraction form
    217,742/342,168 = 342,168/x
  3. Step 3: Cross multiply
    217,742x = 342,168 × 342,168
  4. Step 4: Simplify right side
    217,742x = 117,078,940,224
  5. Step 5: Solve for x
    x = 117,078,940,224/217,742
  6. Step 6: Final answer
    x = 537,695.71

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.