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Finding the Third Proportional to 312,285.38 and 671,944.36

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Solution

The third proportional to 312,285.38 and 671,944.36 is: 1,445,822.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,285.38 : 671,944.36 = 671,944.36 : x
  2. Step 2: Convert to fraction form
    312,285.38/671,944.36 = 671,944.36/x
  3. Step 3: Cross multiply
    312,285.38x = 671,944.36 × 671,944.36
  4. Step 4: Simplify right side
    312,285.38x = 451,509,222,095.88
  5. Step 5: Solve for x
    x = 451,509,222,095.88/312,285.38
  6. Step 6: Final answer
    x = 1,445,822.50

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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.