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Finding the Third Proportional to 315,450.38 and 476,939.19

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Solution

The third proportional to 315,450.38 and 476,939.19 is: 721,099.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,450.38 : 476,939.19 = 476,939.19 : x
  2. Step 2: Convert to fraction form
    315,450.38/476,939.19 = 476,939.19/x
  3. Step 3: Cross multiply
    315,450.38x = 476,939.19 × 476,939.19
  4. Step 4: Simplify right side
    315,450.38x = 227,470,988,573.16
  5. Step 5: Solve for x
    x = 227,470,988,573.16/315,450.38
  6. Step 6: Final answer
    x = 721,099.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.