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Finding the Third Proportional to 132,050 and 280,462

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Solution

The third proportional to 132,050 and 280,462 is: 595,675.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,050 : 280,462 = 280,462 : x
  2. Step 2: Convert to fraction form
    132,050/280,462 = 280,462/x
  3. Step 3: Cross multiply
    132,050x = 280,462 × 280,462
  4. Step 4: Simplify right side
    132,050x = 78,658,933,444
  5. Step 5: Solve for x
    x = 78,658,933,444/132,050
  6. Step 6: Final answer
    x = 595,675.38

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.