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Finding the Third Proportional to 380,171.81 and 531,504.28

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Solution

The third proportional to 380,171.81 and 531,504.28 is: 743,076.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,171.81 : 531,504.28 = 531,504.28 : x
  2. Step 2: Convert to fraction form
    380,171.81/531,504.28 = 531,504.28/x
  3. Step 3: Cross multiply
    380,171.81x = 531,504.28 × 531,504.28
  4. Step 4: Simplify right side
    380,171.81x = 282,496,800,987.08
  5. Step 5: Solve for x
    x = 282,496,800,987.08/380,171.81
  6. Step 6: Final answer
    x = 743,076.66

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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.