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Finding the Third Proportional to 165,394 and 255,631

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Solution

The third proportional to 165,394 and 255,631 is: 395,100.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,394 : 255,631 = 255,631 : x
  2. Step 2: Convert to fraction form
    165,394/255,631 = 255,631/x
  3. Step 3: Cross multiply
    165,394x = 255,631 × 255,631
  4. Step 4: Simplify right side
    165,394x = 65,347,208,161
  5. Step 5: Solve for x
    x = 65,347,208,161/165,394
  6. Step 6: Final answer
    x = 395,100.23

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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.