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Finding the Third Proportional to 380,579.38 and 788,135.32

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Solution

The third proportional to 380,579.38 and 788,135.32 is: 1,632,135.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,579.38 : 788,135.32 = 788,135.32 : x
  2. Step 2: Convert to fraction form
    380,579.38/788,135.32 = 788,135.32/x
  3. Step 3: Cross multiply
    380,579.38x = 788,135.32 × 788,135.32
  4. Step 4: Simplify right side
    380,579.38x = 621,157,281,969.55
  5. Step 5: Solve for x
    x = 621,157,281,969.55/380,579.38
  6. Step 6: Final answer
    x = 1,632,135.93

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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.