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Finding the Third Proportional to 177,603.75 and 380,479.50

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Solution

The third proportional to 177,603.75 and 380,479.50 is: 815,099.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,603.75 : 380,479.50 = 380,479.50 : x
  2. Step 2: Convert to fraction form
    177,603.75/380,479.50 = 380,479.50/x
  3. Step 3: Cross multiply
    177,603.75x = 380,479.50 × 380,479.50
  4. Step 4: Simplify right side
    177,603.75x = 144,764,649,920.25
  5. Step 5: Solve for x
    x = 144,764,649,920.25/177,603.75
  6. Step 6: Final answer
    x = 815,099.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.