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Finding the Third Proportional to 76,783 and 166,141

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Solution

The third proportional to 76,783 and 166,141 is: 359,491.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,783 : 166,141 = 166,141 : x
  2. Step 2: Convert to fraction form
    76,783/166,141 = 166,141/x
  3. Step 3: Cross multiply
    76,783x = 166,141 × 166,141
  4. Step 4: Simplify right side
    76,783x = 27,602,831,881
  5. Step 5: Solve for x
    x = 27,602,831,881/76,783
  6. Step 6: Final answer
    x = 359,491.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.