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Finding the Third Proportional to 257,757.75 and 387,121.50

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Solution

The third proportional to 257,757.75 and 387,121.50 is: 581,410.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,757.75 : 387,121.50 = 387,121.50 : x
  2. Step 2: Convert to fraction form
    257,757.75/387,121.50 = 387,121.50/x
  3. Step 3: Cross multiply
    257,757.75x = 387,121.50 × 387,121.50
  4. Step 4: Simplify right side
    257,757.75x = 149,863,055,762.25
  5. Step 5: Solve for x
    x = 149,863,055,762.25/257,757.75
  6. Step 6: Final answer
    x = 581,410.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.