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Finding the Third Proportional to 121,280.25 and 173,667.75

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Solution

The third proportional to 121,280.25 and 173,667.75 is: 248,684.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,280.25 : 173,667.75 = 173,667.75 : x
  2. Step 2: Convert to fraction form
    121,280.25/173,667.75 = 173,667.75/x
  3. Step 3: Cross multiply
    121,280.25x = 173,667.75 × 173,667.75
  4. Step 4: Simplify right side
    121,280.25x = 30,160,487,390.06
  5. Step 5: Solve for x
    x = 30,160,487,390.06/121,280.25
  6. Step 6: Final answer
    x = 248,684.24

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.