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Finding the Third Proportional to 78,401.25 and 118,334.25

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Solution

The third proportional to 78,401.25 and 118,334.25 is: 178,606.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,401.25 : 118,334.25 = 118,334.25 : x
  2. Step 2: Convert to fraction form
    78,401.25/118,334.25 = 118,334.25/x
  3. Step 3: Cross multiply
    78,401.25x = 118,334.25 × 118,334.25
  4. Step 4: Simplify right side
    78,401.25x = 14,002,994,723.06
  5. Step 5: Solve for x
    x = 14,002,994,723.06/78,401.25
  6. Step 6: Final answer
    x = 178,606.78

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.