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Finding the Third Proportional to 53,078 and 80,302

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Solution

The third proportional to 53,078 and 80,302 is: 121,489.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,078 : 80,302 = 80,302 : x
  2. Step 2: Convert to fraction form
    53,078/80,302 = 80,302/x
  3. Step 3: Cross multiply
    53,078x = 80,302 × 80,302
  4. Step 4: Simplify right side
    53,078x = 6,448,411,204
  5. Step 5: Solve for x
    x = 6,448,411,204/53,078
  6. Step 6: Final answer
    x = 121,489.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.