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Finding the Third Proportional to 362,905.31 and 819,458.65

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Solution

The third proportional to 362,905.31 and 819,458.65 is: 1,850,379.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,905.31 : 819,458.65 = 819,458.65 : x
  2. Step 2: Convert to fraction form
    362,905.31/819,458.65 = 819,458.65/x
  3. Step 3: Cross multiply
    362,905.31x = 819,458.65 × 819,458.65
  4. Step 4: Simplify right side
    362,905.31x = 671,512,476,499.01
  5. Step 5: Solve for x
    x = 671,512,476,499.01/362,905.31
  6. Step 6: Final answer
    x = 1,850,379.30

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.