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Finding the Third Proportional to 275,591 and 390,067

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Solution

The third proportional to 275,591 and 390,067 is: 552,094.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,591 : 390,067 = 390,067 : x
  2. Step 2: Convert to fraction form
    275,591/390,067 = 390,067/x
  3. Step 3: Cross multiply
    275,591x = 390,067 × 390,067
  4. Step 4: Simplify right side
    275,591x = 152,152,264,489
  5. Step 5: Solve for x
    x = 152,152,264,489/275,591
  6. Step 6: Final answer
    x = 552,094.46

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.