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Finding the Third Proportional to 240,091 and 515,173

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Solution

The third proportional to 240,091 and 515,173 is: 1,105,427.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,091 : 515,173 = 515,173 : x
  2. Step 2: Convert to fraction form
    240,091/515,173 = 515,173/x
  3. Step 3: Cross multiply
    240,091x = 515,173 × 515,173
  4. Step 4: Simplify right side
    240,091x = 265,403,219,929
  5. Step 5: Solve for x
    x = 265,403,219,929/240,091
  6. Step 6: Final answer
    x = 1,105,427.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.