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Finding the Third Proportional to 82,056 and 122,944

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Solution

The third proportional to 82,056 and 122,944 is: 184,206.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,056 : 122,944 = 122,944 : x
  2. Step 2: Convert to fraction form
    82,056/122,944 = 122,944/x
  3. Step 3: Cross multiply
    82,056x = 122,944 × 122,944
  4. Step 4: Simplify right side
    82,056x = 15,115,227,136
  5. Step 5: Solve for x
    x = 15,115,227,136/82,056
  6. Step 6: Final answer
    x = 184,206.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.