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Finding the Third Proportional to 142,584.75 and 199,345.50

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Solution

The third proportional to 142,584.75 and 199,345.50 is: 278,701.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,584.75 : 199,345.50 = 199,345.50 : x
  2. Step 2: Convert to fraction form
    142,584.75/199,345.50 = 199,345.50/x
  3. Step 3: Cross multiply
    142,584.75x = 199,345.50 × 199,345.50
  4. Step 4: Simplify right side
    142,584.75x = 39,738,628,370.25
  5. Step 5: Solve for x
    x = 39,738,628,370.25/142,584.75
  6. Step 6: Final answer
    x = 278,701.81

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.