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Finding the Third Proportional to 380,580.75 and 788,138.25

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Solution

The third proportional to 380,580.75 and 788,138.25 is: 1,632,142.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,580.75 : 788,138.25 = 788,138.25 : x
  2. Step 2: Convert to fraction form
    380,580.75/788,138.25 = 788,138.25/x
  3. Step 3: Cross multiply
    380,580.75x = 788,138.25 × 788,138.25
  4. Step 4: Simplify right side
    380,580.75x = 621,161,901,113.06
  5. Step 5: Solve for x
    x = 621,161,901,113.06/380,580.75
  6. Step 6: Final answer
    x = 1,632,142.20

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.