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Finding the Third Proportional to 131,039 and 312,039.50

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Solution

The third proportional to 131,039 and 312,039.50 is: 743,050.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,039 : 312,039.50 = 312,039.50 : x
  2. Step 2: Convert to fraction form
    131,039/312,039.50 = 312,039.50/x
  3. Step 3: Cross multiply
    131,039x = 312,039.50 × 312,039.50
  4. Step 4: Simplify right side
    131,039x = 97,368,649,560.25
  5. Step 5: Solve for x
    x = 97,368,649,560.25/131,039
  6. Step 6: Final answer
    x = 743,050.92

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.