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Finding the Third Proportional to 82,852 and 128,526

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Solution

The third proportional to 82,852 and 128,526 is: 199,378.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,852 : 128,526 = 128,526 : x
  2. Step 2: Convert to fraction form
    82,852/128,526 = 128,526/x
  3. Step 3: Cross multiply
    82,852x = 128,526 × 128,526
  4. Step 4: Simplify right side
    82,852x = 16,518,932,676
  5. Step 5: Solve for x
    x = 16,518,932,676/82,852
  6. Step 6: Final answer
    x = 199,378.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.