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Finding the Third Proportional to 131,940 and 311,152.50

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Solution

The third proportional to 131,940 and 311,152.50 is: 733,787.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,940 : 311,152.50 = 311,152.50 : x
  2. Step 2: Convert to fraction form
    131,940/311,152.50 = 311,152.50/x
  3. Step 3: Cross multiply
    131,940x = 311,152.50 × 311,152.50
  4. Step 4: Simplify right side
    131,940x = 96,815,878,256.25
  5. Step 5: Solve for x
    x = 96,815,878,256.25/131,940
  6. Step 6: Final answer
    x = 733,787.16

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.