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Finding the Third Proportional to 298,663.50 and 383,136.75

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Solution

The third proportional to 298,663.50 and 383,136.75 is: 491,502.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,663.50 : 383,136.75 = 383,136.75 : x
  2. Step 2: Convert to fraction form
    298,663.50/383,136.75 = 383,136.75/x
  3. Step 3: Cross multiply
    298,663.50x = 383,136.75 × 383,136.75
  4. Step 4: Simplify right side
    298,663.50x = 146,793,769,200.56
  5. Step 5: Solve for x
    x = 146,793,769,200.56/298,663.50
  6. Step 6: Final answer
    x = 491,502.21

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.