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Finding the Third Proportional to 165,206.25 and 255,603.38

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Solution

The third proportional to 165,206.25 and 255,603.38 is: 395,463.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,206.25 : 255,603.38 = 255,603.38 : x
  2. Step 2: Convert to fraction form
    165,206.25/255,603.38 = 255,603.38/x
  3. Step 3: Cross multiply
    165,206.25x = 255,603.38 × 255,603.38
  4. Step 4: Simplify right side
    165,206.25x = 65,333,085,311.39
  5. Step 5: Solve for x
    x = 65,333,085,311.39/165,206.25
  6. Step 6: Final answer
    x = 395,463.76

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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.