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Finding the Third Proportional to 130,887 and 284,949

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Solution

The third proportional to 130,887 and 284,949 is: 620,351.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,887 : 284,949 = 284,949 : x
  2. Step 2: Convert to fraction form
    130,887/284,949 = 284,949/x
  3. Step 3: Cross multiply
    130,887x = 284,949 × 284,949
  4. Step 4: Simplify right side
    130,887x = 81,195,932,601
  5. Step 5: Solve for x
    x = 81,195,932,601/130,887
  6. Step 6: Final answer
    x = 620,351.39

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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.