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Finding the Third Proportional to 355,066 and 769,221

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Solution

The third proportional to 355,066 and 769,221 is: 1,666,453.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,066 : 769,221 = 769,221 : x
  2. Step 2: Convert to fraction form
    355,066/769,221 = 769,221/x
  3. Step 3: Cross multiply
    355,066x = 769,221 × 769,221
  4. Step 4: Simplify right side
    355,066x = 591,700,946,841
  5. Step 5: Solve for x
    x = 591,700,946,841/355,066
  6. Step 6: Final answer
    x = 1,666,453.41

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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.