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Finding the Third Proportional to 305,447.63 and 671,115.38

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Solution

The third proportional to 305,447.63 and 671,115.38 is: 1,474,543.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,447.63 : 671,115.38 = 671,115.38 : x
  2. Step 2: Convert to fraction form
    305,447.63/671,115.38 = 671,115.38/x
  3. Step 3: Cross multiply
    305,447.63x = 671,115.38 × 671,115.38
  4. Step 4: Simplify right side
    305,447.63x = 450,395,846,561.39
  5. Step 5: Solve for x
    x = 450,395,846,561.39/305,447.63
  6. Step 6: Final answer
    x = 1,474,543.62

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.