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Finding the Third Proportional to 78,820 and 118,249

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Solution

The third proportional to 78,820 and 118,249 is: 177,402.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,820 : 118,249 = 118,249 : x
  2. Step 2: Convert to fraction form
    78,820/118,249 = 118,249/x
  3. Step 3: Cross multiply
    78,820x = 118,249 × 118,249
  4. Step 4: Simplify right side
    78,820x = 13,982,826,001
  5. Step 5: Solve for x
    x = 13,982,826,001/78,820
  6. Step 6: Final answer
    x = 177,402.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.