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Finding the Third Proportional to 130,512 and 284,994

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Solution

The third proportional to 130,512 and 284,994 is: 622,330.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,512 : 284,994 = 284,994 : x
  2. Step 2: Convert to fraction form
    130,512/284,994 = 284,994/x
  3. Step 3: Cross multiply
    130,512x = 284,994 × 284,994
  4. Step 4: Simplify right side
    130,512x = 81,221,580,036
  5. Step 5: Solve for x
    x = 81,221,580,036/130,512
  6. Step 6: Final answer
    x = 622,330.36

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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.