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Finding the Third Proportional to 102,840.75 and 229,313.25

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Solution

The third proportional to 102,840.75 and 229,313.25 is: 511,320.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,840.75 : 229,313.25 = 229,313.25 : x
  2. Step 2: Convert to fraction form
    102,840.75/229,313.25 = 229,313.25/x
  3. Step 3: Cross multiply
    102,840.75x = 229,313.25 × 229,313.25
  4. Step 4: Simplify right side
    102,840.75x = 52,584,566,625.56
  5. Step 5: Solve for x
    x = 52,584,566,625.56/102,840.75
  6. Step 6: Final answer
    x = 511,320.33

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.