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Finding the Third Proportional to 82,056 and 123,060

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Solution

The third proportional to 82,056 and 123,060 is: 184,554.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,056 : 123,060 = 123,060 : x
  2. Step 2: Convert to fraction form
    82,056/123,060 = 123,060/x
  3. Step 3: Cross multiply
    82,056x = 123,060 × 123,060
  4. Step 4: Simplify right side
    82,056x = 15,143,763,600
  5. Step 5: Solve for x
    x = 15,143,763,600/82,056
  6. Step 6: Final answer
    x = 184,554.01

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