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Finding the Third Proportional to 53,508 and 82,810

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Solution

The third proportional to 53,508 and 82,810 is: 128,158.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,508 : 82,810 = 82,810 : x
  2. Step 2: Convert to fraction form
    53,508/82,810 = 82,810/x
  3. Step 3: Cross multiply
    53,508x = 82,810 × 82,810
  4. Step 4: Simplify right side
    53,508x = 6,857,496,100
  5. Step 5: Solve for x
    x = 6,857,496,100/53,508
  6. Step 6: Final answer
    x = 128,158.33

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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.