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Finding the Third Proportional to 141,012.75 and 218,451.75

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Solution

The third proportional to 141,012.75 and 218,451.75 is: 338,417.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,012.75 : 218,451.75 = 218,451.75 : x
  2. Step 2: Convert to fraction form
    141,012.75/218,451.75 = 218,451.75/x
  3. Step 3: Cross multiply
    141,012.75x = 218,451.75 × 218,451.75
  4. Step 4: Simplify right side
    141,012.75x = 47,721,167,078.06
  5. Step 5: Solve for x
    x = 47,721,167,078.06/141,012.75
  6. Step 6: Final answer
    x = 338,417.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.