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Finding the Third Proportional to 218,512.69 and 476,740.69

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Solution

The third proportional to 218,512.69 and 476,740.69 is: 1,040,130.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,512.69 : 476,740.69 = 476,740.69 : x
  2. Step 2: Convert to fraction form
    218,512.69/476,740.69 = 476,740.69/x
  3. Step 3: Cross multiply
    218,512.69x = 476,740.69 × 476,740.69
  4. Step 4: Simplify right side
    218,512.69x = 227,281,683,117.97
  5. Step 5: Solve for x
    x = 227,281,683,117.97/218,512.69
  6. Step 6: Final answer
    x = 1,040,130.37

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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.