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Finding the Third Proportional to 220,069 and 343,253

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Solution

The third proportional to 220,069 and 343,253 is: 535,389.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,069 : 343,253 = 343,253 : x
  2. Step 2: Convert to fraction form
    220,069/343,253 = 343,253/x
  3. Step 3: Cross multiply
    220,069x = 343,253 × 343,253
  4. Step 4: Simplify right side
    220,069x = 117,822,622,009
  5. Step 5: Solve for x
    x = 117,822,622,009/220,069
  6. Step 6: Final answer
    x = 535,389.46

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.