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Finding the Third Proportional to 53,745 and 80,319

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Solution

The third proportional to 53,745 and 80,319 is: 120,032.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,745 : 80,319 = 80,319 : x
  2. Step 2: Convert to fraction form
    53,745/80,319 = 80,319/x
  3. Step 3: Cross multiply
    53,745x = 80,319 × 80,319
  4. Step 4: Simplify right side
    53,745x = 6,451,141,761
  5. Step 5: Solve for x
    x = 6,451,141,761/53,745
  6. Step 6: Final answer
    x = 120,032.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.