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Finding the Third Proportional to 185,280 and 399,936

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Solution

The third proportional to 185,280 and 399,936 is: 863,281.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,280 : 399,936 = 399,936 : x
  2. Step 2: Convert to fraction form
    185,280/399,936 = 399,936/x
  3. Step 3: Cross multiply
    185,280x = 399,936 × 399,936
  4. Step 4: Simplify right side
    185,280x = 159,948,804,096
  5. Step 5: Solve for x
    x = 159,948,804,096/185,280
  6. Step 6: Final answer
    x = 863,281.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.