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Finding the Third Proportional to 254,330 and 393,186

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Solution

The third proportional to 254,330 and 393,186 is: 607,852.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,330 : 393,186 = 393,186 : x
  2. Step 2: Convert to fraction form
    254,330/393,186 = 393,186/x
  3. Step 3: Cross multiply
    254,330x = 393,186 × 393,186
  4. Step 4: Simplify right side
    254,330x = 154,595,230,596
  5. Step 5: Solve for x
    x = 154,595,230,596/254,330
  6. Step 6: Final answer
    x = 607,852.91

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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.