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Finding the Third Proportional to 165,185 and 251,240

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Solution

The third proportional to 165,185 and 251,240 is: 382,126.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,185 : 251,240 = 251,240 : x
  2. Step 2: Convert to fraction form
    165,185/251,240 = 251,240/x
  3. Step 3: Cross multiply
    165,185x = 251,240 × 251,240
  4. Step 4: Simplify right side
    165,185x = 63,121,537,600
  5. Step 5: Solve for x
    x = 63,121,537,600/165,185
  6. Step 6: Final answer
    x = 382,126.33

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.