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Finding the Third Proportional to 141,790.50 and 311,535

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Solution

The third proportional to 141,790.50 and 311,535 is: 684,489.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,790.50 : 311,535 = 311,535 : x
  2. Step 2: Convert to fraction form
    141,790.50/311,535 = 311,535/x
  3. Step 3: Cross multiply
    141,790.50x = 311,535 × 311,535
  4. Step 4: Simplify right side
    141,790.50x = 97,054,056,225
  5. Step 5: Solve for x
    x = 97,054,056,225/141,790.50
  6. Step 6: Final answer
    x = 684,489.13

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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.