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Finding the Third Proportional to 275,280 and 387,652

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Solution

The third proportional to 275,280 and 387,652 is: 545,895.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,280 : 387,652 = 387,652 : x
  2. Step 2: Convert to fraction form
    275,280/387,652 = 387,652/x
  3. Step 3: Cross multiply
    275,280x = 387,652 × 387,652
  4. Step 4: Simplify right side
    275,280x = 150,274,073,104
  5. Step 5: Solve for x
    x = 150,274,073,104/275,280
  6. Step 6: Final answer
    x = 545,895.35

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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.