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Finding the Third Proportional to 81,684 and 118,974

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Solution

The third proportional to 81,684 and 118,974 is: 173,287.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,684 : 118,974 = 118,974 : x
  2. Step 2: Convert to fraction form
    81,684/118,974 = 118,974/x
  3. Step 3: Cross multiply
    81,684x = 118,974 × 118,974
  4. Step 4: Simplify right side
    81,684x = 14,154,812,676
  5. Step 5: Solve for x
    x = 14,154,812,676/81,684
  6. Step 6: Final answer
    x = 173,287.46

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.