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Finding the Third Proportional to 177,945.75 and 209,317.50

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Solution

The third proportional to 177,945.75 and 209,317.50 is: 246,220.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,945.75 : 209,317.50 = 209,317.50 : x
  2. Step 2: Convert to fraction form
    177,945.75/209,317.50 = 209,317.50/x
  3. Step 3: Cross multiply
    177,945.75x = 209,317.50 × 209,317.50
  4. Step 4: Simplify right side
    177,945.75x = 43,813,815,806.25
  5. Step 5: Solve for x
    x = 43,813,815,806.25/177,945.75
  6. Step 6: Final answer
    x = 246,220.07

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.