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Finding the Third Proportional to 104,836 and 139,671

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Solution

The third proportional to 104,836 and 139,671 is: 186,081.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,836 : 139,671 = 139,671 : x
  2. Step 2: Convert to fraction form
    104,836/139,671 = 139,671/x
  3. Step 3: Cross multiply
    104,836x = 139,671 × 139,671
  4. Step 4: Simplify right side
    104,836x = 19,507,988,241
  5. Step 5: Solve for x
    x = 19,507,988,241/104,836
  6. Step 6: Final answer
    x = 186,081.01

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.