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Finding the Third Proportional to 130,891 and 284,957

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Solution

The third proportional to 130,891 and 284,957 is: 620,367.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,891 : 284,957 = 284,957 : x
  2. Step 2: Convert to fraction form
    130,891/284,957 = 284,957/x
  3. Step 3: Cross multiply
    130,891x = 284,957 × 284,957
  4. Step 4: Simplify right side
    130,891x = 81,200,491,849
  5. Step 5: Solve for x
    x = 81,200,491,849/130,891
  6. Step 6: Final answer
    x = 620,367.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.