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Finding the Third Proportional to 148,486 and 319,949

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Solution

The third proportional to 148,486 and 319,949 is: 689,407.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,486 : 319,949 = 319,949 : x
  2. Step 2: Convert to fraction form
    148,486/319,949 = 319,949/x
  3. Step 3: Cross multiply
    148,486x = 319,949 × 319,949
  4. Step 4: Simplify right side
    148,486x = 102,367,362,601
  5. Step 5: Solve for x
    x = 102,367,362,601/148,486
  6. Step 6: Final answer
    x = 689,407.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.