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Finding the Third Proportional to 82,056 and 128,556

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Solution

The third proportional to 82,056 and 128,556 is: 201,406.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,056 : 128,556 = 128,556 : x
  2. Step 2: Convert to fraction form
    82,056/128,556 = 128,556/x
  3. Step 3: Cross multiply
    82,056x = 128,556 × 128,556
  4. Step 4: Simplify right side
    82,056x = 16,526,645,136
  5. Step 5: Solve for x
    x = 16,526,645,136/82,056
  6. Step 6: Final answer
    x = 201,406.91

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.