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Finding the Third Proportional to 119,280 and 182,742

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Solution

The third proportional to 119,280 and 182,742 is: 279,968.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,280 : 182,742 = 182,742 : x
  2. Step 2: Convert to fraction form
    119,280/182,742 = 182,742/x
  3. Step 3: Cross multiply
    119,280x = 182,742 × 182,742
  4. Step 4: Simplify right side
    119,280x = 33,394,638,564
  5. Step 5: Solve for x
    x = 33,394,638,564/119,280
  6. Step 6: Final answer
    x = 279,968.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.