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Finding the Third Proportional to 141,787.50 and 311,529

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Solution

The third proportional to 141,787.50 and 311,529 is: 684,477.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,787.50 : 311,529 = 311,529 : x
  2. Step 2: Convert to fraction form
    141,787.50/311,529 = 311,529/x
  3. Step 3: Cross multiply
    141,787.50x = 311,529 × 311,529
  4. Step 4: Simplify right side
    141,787.50x = 97,050,317,841
  5. Step 5: Solve for x
    x = 97,050,317,841/141,787.50
  6. Step 6: Final answer
    x = 684,477.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.