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Finding the Third Proportional to 275,242.50 and 387,591

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Solution

The third proportional to 275,242.50 and 387,591 is: 545,797.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,242.50 : 387,591 = 387,591 : x
  2. Step 2: Convert to fraction form
    275,242.50/387,591 = 387,591/x
  3. Step 3: Cross multiply
    275,242.50x = 387,591 × 387,591
  4. Step 4: Simplify right side
    275,242.50x = 150,226,783,281
  5. Step 5: Solve for x
    x = 150,226,783,281/275,242.50
  6. Step 6: Final answer
    x = 545,797.92

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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.