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Finding the Third Proportional to 137,864 and 285,968

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Solution

The third proportional to 137,864 and 285,968 is: 593,176.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,864 : 285,968 = 285,968 : x
  2. Step 2: Convert to fraction form
    137,864/285,968 = 285,968/x
  3. Step 3: Cross multiply
    137,864x = 285,968 × 285,968
  4. Step 4: Simplify right side
    137,864x = 81,777,697,024
  5. Step 5: Solve for x
    x = 81,777,697,024/137,864
  6. Step 6: Final answer
    x = 593,176.59

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.