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Finding the Third Proportional to 165,490 and 255,725

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Solution

The third proportional to 165,490 and 255,725 is: 395,161.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,490 : 255,725 = 255,725 : x
  2. Step 2: Convert to fraction form
    165,490/255,725 = 255,725/x
  3. Step 3: Cross multiply
    165,490x = 255,725 × 255,725
  4. Step 4: Simplify right side
    165,490x = 65,395,275,625
  5. Step 5: Solve for x
    x = 65,395,275,625/165,490
  6. Step 6: Final answer
    x = 395,161.49

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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.