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Finding the Third Proportional to 103,290.75 and 218,980.13

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Solution

The third proportional to 103,290.75 and 218,980.13 is: 464,245.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,290.75 : 218,980.13 = 218,980.13 : x
  2. Step 2: Convert to fraction form
    103,290.75/218,980.13 = 218,980.13/x
  3. Step 3: Cross multiply
    103,290.75x = 218,980.13 × 218,980.13
  4. Step 4: Simplify right side
    103,290.75x = 47,952,295,145.02
  5. Step 5: Solve for x
    x = 47,952,295,145.02/103,290.75
  6. Step 6: Final answer
    x = 464,245.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.