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Finding the Third Proportional to 82,541 and 128,753

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Solution

The third proportional to 82,541 and 128,753 is: 200,837.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,541 : 128,753 = 128,753 : x
  2. Step 2: Convert to fraction form
    82,541/128,753 = 128,753/x
  3. Step 3: Cross multiply
    82,541x = 128,753 × 128,753
  4. Step 4: Simplify right side
    82,541x = 16,577,335,009
  5. Step 5: Solve for x
    x = 16,577,335,009/82,541
  6. Step 6: Final answer
    x = 200,837.58

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.