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Finding the Third Proportional to 273,105.38 and 427,484.63

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Solution

The third proportional to 273,105.38 and 427,484.63 is: 669,130.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,105.38 : 427,484.63 = 427,484.63 : x
  2. Step 2: Convert to fraction form
    273,105.38/427,484.63 = 427,484.63/x
  3. Step 3: Cross multiply
    273,105.38x = 427,484.63 × 427,484.63
  4. Step 4: Simplify right side
    273,105.38x = 182,743,104,611.39
  5. Step 5: Solve for x
    x = 182,743,104,611.39/273,105.38
  6. Step 6: Final answer
    x = 669,130.38

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.