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Finding the Third Proportional to 770,261 and 1,662,311

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Solution

The third proportional to 770,261 and 1,662,311 is: 3,587,456.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,261 : 1,662,311 = 1,662,311 : x
  2. Step 2: Convert to fraction form
    770,261/1,662,311 = 1,662,311/x
  3. Step 3: Cross multiply
    770,261x = 1,662,311 × 1,662,311
  4. Step 4: Simplify right side
    770,261x = 2,763,277,860,721
  5. Step 5: Solve for x
    x = 2,763,277,860,721/770,261
  6. Step 6: Final answer
    x = 3,587,456.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.