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Finding the Third Proportional to 148,945 and 319,212

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Solution

The third proportional to 148,945 and 319,212 is: 684,120.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,945 : 319,212 = 319,212 : x
  2. Step 2: Convert to fraction form
    148,945/319,212 = 319,212/x
  3. Step 3: Cross multiply
    148,945x = 319,212 × 319,212
  4. Step 4: Simplify right side
    148,945x = 101,896,300,944
  5. Step 5: Solve for x
    x = 101,896,300,944/148,945
  6. Step 6: Final answer
    x = 684,120.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.