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Finding the Third Proportional to 131,512.50 and 279,427.50

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Solution

The third proportional to 131,512.50 and 279,427.50 is: 593,705.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,512.50 : 279,427.50 = 279,427.50 : x
  2. Step 2: Convert to fraction form
    131,512.50/279,427.50 = 279,427.50/x
  3. Step 3: Cross multiply
    131,512.50x = 279,427.50 × 279,427.50
  4. Step 4: Simplify right side
    131,512.50x = 78,079,727,756.25
  5. Step 5: Solve for x
    x = 78,079,727,756.25/131,512.50
  6. Step 6: Final answer
    x = 593,705.75

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.