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Finding the Third Proportional to 254,322 and 393,174

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Solution

The third proportional to 254,322 and 393,174 is: 607,834.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,322 : 393,174 = 393,174 : x
  2. Step 2: Convert to fraction form
    254,322/393,174 = 393,174/x
  3. Step 3: Cross multiply
    254,322x = 393,174 × 393,174
  4. Step 4: Simplify right side
    254,322x = 154,585,794,276
  5. Step 5: Solve for x
    x = 154,585,794,276/254,322
  6. Step 6: Final answer
    x = 607,834.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.