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Finding the Third Proportional to 180,148.50 and 394,155

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Solution

The third proportional to 180,148.50 and 394,155 is: 862,389.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,148.50 : 394,155 = 394,155 : x
  2. Step 2: Convert to fraction form
    180,148.50/394,155 = 394,155/x
  3. Step 3: Cross multiply
    180,148.50x = 394,155 × 394,155
  4. Step 4: Simplify right side
    180,148.50x = 155,358,164,025
  5. Step 5: Solve for x
    x = 155,358,164,025/180,148.50
  6. Step 6: Final answer
    x = 862,389.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.