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Finding the Third Proportional to 84,276 and 178,920

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Solution

The third proportional to 84,276 and 178,920 is: 379,851.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,276 : 178,920 = 178,920 : x
  2. Step 2: Convert to fraction form
    84,276/178,920 = 178,920/x
  3. Step 3: Cross multiply
    84,276x = 178,920 × 178,920
  4. Step 4: Simplify right side
    84,276x = 32,012,366,400
  5. Step 5: Solve for x
    x = 32,012,366,400/84,276
  6. Step 6: Final answer
    x = 379,851.52

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.