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Finding the Third Proportional to 240,116 and 515,220

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Solution

The third proportional to 240,116 and 515,220 is: 1,105,514.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,116 : 515,220 = 515,220 : x
  2. Step 2: Convert to fraction form
    240,116/515,220 = 515,220/x
  3. Step 3: Cross multiply
    240,116x = 515,220 × 515,220
  4. Step 4: Simplify right side
    240,116x = 265,451,648,400
  5. Step 5: Solve for x
    x = 265,451,648,400/240,116
  6. Step 6: Final answer
    x = 1,105,514.20

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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.