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Finding the Third Proportional to 220,841 and 350,258

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Solution

The third proportional to 220,841 and 350,258 is: 555,515.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,841 : 350,258 = 350,258 : x
  2. Step 2: Convert to fraction form
    220,841/350,258 = 350,258/x
  3. Step 3: Cross multiply
    220,841x = 350,258 × 350,258
  4. Step 4: Simplify right side
    220,841x = 122,680,666,564
  5. Step 5: Solve for x
    x = 122,680,666,564/220,841
  6. Step 6: Final answer
    x = 555,515.81

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.