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Finding the Third Proportional to 353,286 and 765,288

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Solution

The third proportional to 353,286 and 765,288 is: 1,657,766.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,286 : 765,288 = 765,288 : x
  2. Step 2: Convert to fraction form
    353,286/765,288 = 765,288/x
  3. Step 3: Cross multiply
    353,286x = 765,288 × 765,288
  4. Step 4: Simplify right side
    353,286x = 585,665,722,944
  5. Step 5: Solve for x
    x = 585,665,722,944/353,286
  6. Step 6: Final answer
    x = 1,657,766.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.