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Finding the Third Proportional to 78,286.75 and 174,502.50

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Solution

The third proportional to 78,286.75 and 174,502.50 is: 388,969.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,286.75 : 174,502.50 = 174,502.50 : x
  2. Step 2: Convert to fraction form
    78,286.75/174,502.50 = 174,502.50/x
  3. Step 3: Cross multiply
    78,286.75x = 174,502.50 × 174,502.50
  4. Step 4: Simplify right side
    78,286.75x = 30,451,122,506.25
  5. Step 5: Solve for x
    x = 30,451,122,506.25/78,286.75
  6. Step 6: Final answer
    x = 388,969.05

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.