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Finding the Third Proportional to 53,668 and 81,656

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Solution

The third proportional to 53,668 and 81,656 is: 124,239.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,668 : 81,656 = 81,656 : x
  2. Step 2: Convert to fraction form
    53,668/81,656 = 81,656/x
  3. Step 3: Cross multiply
    53,668x = 81,656 × 81,656
  4. Step 4: Simplify right side
    53,668x = 6,667,702,336
  5. Step 5: Solve for x
    x = 6,667,702,336/53,668
  6. Step 6: Final answer
    x = 124,239.81

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.