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Finding the Third Proportional to 275,312.25 and 387,708.75

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Solution

The third proportional to 275,312.25 and 387,708.75 is: 545,991.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,312.25 : 387,708.75 = 387,708.75 : x
  2. Step 2: Convert to fraction form
    275,312.25/387,708.75 = 387,708.75/x
  3. Step 3: Cross multiply
    275,312.25x = 387,708.75 × 387,708.75
  4. Step 4: Simplify right side
    275,312.25x = 150,318,074,826.56
  5. Step 5: Solve for x
    x = 150,318,074,826.56/275,312.25
  6. Step 6: Final answer
    x = 545,991.23

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.