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Finding the Third Proportional to 37,849 and 78,129

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Solution

The third proportional to 37,849 and 78,129 is: 161,276.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,849 : 78,129 = 78,129 : x
  2. Step 2: Convert to fraction form
    37,849/78,129 = 78,129/x
  3. Step 3: Cross multiply
    37,849x = 78,129 × 78,129
  4. Step 4: Simplify right side
    37,849x = 6,104,140,641
  5. Step 5: Solve for x
    x = 6,104,140,641/37,849
  6. Step 6: Final answer
    x = 161,276.14

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.