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Finding the Third Proportional to 139,272 and 285,920

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Solution

The third proportional to 139,272 and 285,920 is: 586,982.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,272 : 285,920 = 285,920 : x
  2. Step 2: Convert to fraction form
    139,272/285,920 = 285,920/x
  3. Step 3: Cross multiply
    139,272x = 285,920 × 285,920
  4. Step 4: Simplify right side
    139,272x = 81,750,246,400
  5. Step 5: Solve for x
    x = 81,750,246,400/139,272
  6. Step 6: Final answer
    x = 586,982.64

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.