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Finding the Third Proportional to 63,774 and 134,840

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Solution

The third proportional to 63,774 and 134,840 is: 285,097.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,774 : 134,840 = 134,840 : x
  2. Step 2: Convert to fraction form
    63,774/134,840 = 134,840/x
  3. Step 3: Cross multiply
    63,774x = 134,840 × 134,840
  4. Step 4: Simplify right side
    63,774x = 18,181,825,600
  5. Step 5: Solve for x
    x = 18,181,825,600/63,774
  6. Step 6: Final answer
    x = 285,097.78

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.