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Finding the Third Proportional to 127,578.50 and 274,657.50

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Solution

The third proportional to 127,578.50 and 274,657.50 is: 591,296.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,578.50 : 274,657.50 = 274,657.50 : x
  2. Step 2: Convert to fraction form
    127,578.50/274,657.50 = 274,657.50/x
  3. Step 3: Cross multiply
    127,578.50x = 274,657.50 × 274,657.50
  4. Step 4: Simplify right side
    127,578.50x = 75,436,742,306.25
  5. Step 5: Solve for x
    x = 75,436,742,306.25/127,578.50
  6. Step 6: Final answer
    x = 591,296.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.