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Finding the Third Proportional to 130,118 and 284,036

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Solution

The third proportional to 130,118 and 284,036 is: 620,025.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,118 : 284,036 = 284,036 : x
  2. Step 2: Convert to fraction form
    130,118/284,036 = 284,036/x
  3. Step 3: Cross multiply
    130,118x = 284,036 × 284,036
  4. Step 4: Simplify right side
    130,118x = 80,676,449,296
  5. Step 5: Solve for x
    x = 80,676,449,296/130,118
  6. Step 6: Final answer
    x = 620,025.28

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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.