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Finding the Third Proportional to 132,056 and 284,647

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Solution

The third proportional to 132,056 and 284,647 is: 613,557.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,056 : 284,647 = 284,647 : x
  2. Step 2: Convert to fraction form
    132,056/284,647 = 284,647/x
  3. Step 3: Cross multiply
    132,056x = 284,647 × 284,647
  4. Step 4: Simplify right side
    132,056x = 81,023,914,609
  5. Step 5: Solve for x
    x = 81,023,914,609/132,056
  6. Step 6: Final answer
    x = 613,557.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.