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Finding the Third Proportional to 380,400 and 588,696

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Solution

The third proportional to 380,400 and 588,696 is: 911,048.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,400 : 588,696 = 588,696 : x
  2. Step 2: Convert to fraction form
    380,400/588,696 = 588,696/x
  3. Step 3: Cross multiply
    380,400x = 588,696 × 588,696
  4. Step 4: Simplify right side
    380,400x = 346,562,980,416
  5. Step 5: Solve for x
    x = 346,562,980,416/380,400
  6. Step 6: Final answer
    x = 911,048.84

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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.