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Finding the Third Proportional to 218,101.50 and 471,228.75

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Solution

The third proportional to 218,101.50 and 471,228.75 is: 1,018,133.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,101.50 : 471,228.75 = 471,228.75 : x
  2. Step 2: Convert to fraction form
    218,101.50/471,228.75 = 471,228.75/x
  3. Step 3: Cross multiply
    218,101.50x = 471,228.75 × 471,228.75
  4. Step 4: Simplify right side
    218,101.50x = 222,056,534,826.56
  5. Step 5: Solve for x
    x = 222,056,534,826.56/218,101.50
  6. Step 6: Final answer
    x = 1,018,133.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.