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Finding the Third Proportional to 149,739 and 220,233

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Solution

The third proportional to 149,739 and 220,233 is: 323,914.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,739 : 220,233 = 220,233 : x
  2. Step 2: Convert to fraction form
    149,739/220,233 = 220,233/x
  3. Step 3: Cross multiply
    149,739x = 220,233 × 220,233
  4. Step 4: Simplify right side
    149,739x = 48,502,574,289
  5. Step 5: Solve for x
    x = 48,502,574,289/149,739
  6. Step 6: Final answer
    x = 323,914.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.