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Finding the Third Proportional to 312,270.38 and 671,903.25

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Solution

The third proportional to 312,270.38 and 671,903.25 is: 1,445,715.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,270.38 : 671,903.25 = 671,903.25 : x
  2. Step 2: Convert to fraction form
    312,270.38/671,903.25 = 671,903.25/x
  3. Step 3: Cross multiply
    312,270.38x = 671,903.25 × 671,903.25
  4. Step 4: Simplify right side
    312,270.38x = 451,453,977,360.56
  5. Step 5: Solve for x
    x = 451,453,977,360.56/312,270.38
  6. Step 6: Final answer
    x = 1,445,715.04

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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.