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Finding the Third Proportional to 132,046.50 and 280,455

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Solution

The third proportional to 132,046.50 and 280,455 is: 595,661.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,046.50 : 280,455 = 280,455 : x
  2. Step 2: Convert to fraction form
    132,046.50/280,455 = 280,455/x
  3. Step 3: Cross multiply
    132,046.50x = 280,455 × 280,455
  4. Step 4: Simplify right side
    132,046.50x = 78,655,007,025
  5. Step 5: Solve for x
    x = 78,655,007,025/132,046.50
  6. Step 6: Final answer
    x = 595,661.43

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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.