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Finding the Third Proportional to 146,072 and 306,903

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Solution

The third proportional to 146,072 and 306,903 is: 644,815.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,072 : 306,903 = 306,903 : x
  2. Step 2: Convert to fraction form
    146,072/306,903 = 306,903/x
  3. Step 3: Cross multiply
    146,072x = 306,903 × 306,903
  4. Step 4: Simplify right side
    146,072x = 94,189,451,409
  5. Step 5: Solve for x
    x = 94,189,451,409/146,072
  6. Step 6: Final answer
    x = 644,815.24

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.