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Finding the Third Proportional to 386,219.25 and 577,140.75

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Solution

The third proportional to 386,219.25 and 577,140.75 is: 862,441.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,219.25 : 577,140.75 = 577,140.75 : x
  2. Step 2: Convert to fraction form
    386,219.25/577,140.75 = 577,140.75/x
  3. Step 3: Cross multiply
    386,219.25x = 577,140.75 × 577,140.75
  4. Step 4: Simplify right side
    386,219.25x = 333,091,445,310.56
  5. Step 5: Solve for x
    x = 333,091,445,310.56/386,219.25
  6. Step 6: Final answer
    x = 862,441.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.