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Finding the Third Proportional to 83,280 and 179,868

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Solution

The third proportional to 83,280 and 179,868 is: 388,478.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,280 : 179,868 = 179,868 : x
  2. Step 2: Convert to fraction form
    83,280/179,868 = 179,868/x
  3. Step 3: Cross multiply
    83,280x = 179,868 × 179,868
  4. Step 4: Simplify right side
    83,280x = 32,352,497,424
  5. Step 5: Solve for x
    x = 32,352,497,424/83,280
  6. Step 6: Final answer
    x = 388,478.60

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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.