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Finding the Third Proportional to 78,810.75 and 118,233

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Solution

The third proportional to 78,810.75 and 118,233 is: 177,374.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,810.75 : 118,233 = 118,233 : x
  2. Step 2: Convert to fraction form
    78,810.75/118,233 = 118,233/x
  3. Step 3: Cross multiply
    78,810.75x = 118,233 × 118,233
  4. Step 4: Simplify right side
    78,810.75x = 13,979,042,289
  5. Step 5: Solve for x
    x = 13,979,042,289/78,810.75
  6. Step 6: Final answer
    x = 177,374.82

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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.