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Finding the Third Proportional to 380,143.13 and 531,462.38

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Solution

The third proportional to 380,143.13 and 531,462.38 is: 743,015.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,143.13 : 531,462.38 = 531,462.38 : x
  2. Step 2: Convert to fraction form
    380,143.13/531,462.38 = 531,462.38/x
  3. Step 3: Cross multiply
    380,143.13x = 531,462.38 × 531,462.38
  4. Step 4: Simplify right side
    380,143.13x = 282,452,256,040.64
  5. Step 5: Solve for x
    x = 282,452,256,040.64/380,143.13
  6. Step 6: Final answer
    x = 743,015.56

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.