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Finding the Third Proportional to 218,875 and 479,270.50

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Solution

The third proportional to 218,875 and 479,270.50 is: 1,049,458.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,875 : 479,270.50 = 479,270.50 : x
  2. Step 2: Convert to fraction form
    218,875/479,270.50 = 479,270.50/x
  3. Step 3: Cross multiply
    218,875x = 479,270.50 × 479,270.50
  4. Step 4: Simplify right side
    218,875x = 229,700,212,170.25
  5. Step 5: Solve for x
    x = 229,700,212,170.25/218,875
  6. Step 6: Final answer
    x = 1,049,458.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.