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Finding the Third Proportional to 116,100.84 and 255,036.09

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Solution

The third proportional to 116,100.84 and 255,036.09 is: 560,232.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,100.84 : 255,036.09 = 255,036.09 : x
  2. Step 2: Convert to fraction form
    116,100.84/255,036.09 = 255,036.09/x
  3. Step 3: Cross multiply
    116,100.84x = 255,036.09 × 255,036.09
  4. Step 4: Simplify right side
    116,100.84x = 65,043,409,115.26
  5. Step 5: Solve for x
    x = 65,043,409,115.26/116,100.84
  6. Step 6: Final answer
    x = 560,232.01

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.