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Finding the Third Proportional to 52,720 and 82,857

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Solution

The third proportional to 52,720 and 82,857 is: 130,221.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,720 : 82,857 = 82,857 : x
  2. Step 2: Convert to fraction form
    52,720/82,857 = 82,857/x
  3. Step 3: Cross multiply
    52,720x = 82,857 × 82,857
  4. Step 4: Simplify right side
    52,720x = 6,865,282,449
  5. Step 5: Solve for x
    x = 6,865,282,449/52,720
  6. Step 6: Final answer
    x = 130,221.59

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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.