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Finding the Third Proportional to 76,869 and 157,565.25

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Solution

The third proportional to 76,869 and 157,565.25 is: 322,975.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,869 : 157,565.25 = 157,565.25 : x
  2. Step 2: Convert to fraction form
    76,869/157,565.25 = 157,565.25/x
  3. Step 3: Cross multiply
    76,869x = 157,565.25 × 157,565.25
  4. Step 4: Simplify right side
    76,869x = 24,826,808,007.56
  5. Step 5: Solve for x
    x = 24,826,808,007.56/76,869
  6. Step 6: Final answer
    x = 322,975.56

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.