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Finding the Third Proportional to 218,728 and 342,668

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Solution

The third proportional to 218,728 and 342,668 is: 536,837.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,728 : 342,668 = 342,668 : x
  2. Step 2: Convert to fraction form
    218,728/342,668 = 342,668/x
  3. Step 3: Cross multiply
    218,728x = 342,668 × 342,668
  4. Step 4: Simplify right side
    218,728x = 117,421,358,224
  5. Step 5: Solve for x
    x = 117,421,358,224/218,728
  6. Step 6: Final answer
    x = 536,837.34

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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.