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Finding the Third Proportional to 178,640.50 and 284,360.75

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Solution

The third proportional to 178,640.50 and 284,360.75 is: 452,646.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,640.50 : 284,360.75 = 284,360.75 : x
  2. Step 2: Convert to fraction form
    178,640.50/284,360.75 = 284,360.75/x
  3. Step 3: Cross multiply
    178,640.50x = 284,360.75 × 284,360.75
  4. Step 4: Simplify right side
    178,640.50x = 80,861,036,140.56
  5. Step 5: Solve for x
    x = 80,861,036,140.56/178,640.50
  6. Step 6: Final answer
    x = 452,646.72

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.