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Finding the Third Proportional to 180,038 and 393,976

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Solution

The third proportional to 180,038 and 393,976 is: 862,135.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,038 : 393,976 = 393,976 : x
  2. Step 2: Convert to fraction form
    180,038/393,976 = 393,976/x
  3. Step 3: Cross multiply
    180,038x = 393,976 × 393,976
  4. Step 4: Simplify right side
    180,038x = 155,217,088,576
  5. Step 5: Solve for x
    x = 155,217,088,576/180,038
  6. Step 6: Final answer
    x = 862,135.15

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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.