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Finding the Third Proportional to 53,435 and 80,531

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Solution

The third proportional to 53,435 and 80,531 is: 121,366.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,435 : 80,531 = 80,531 : x
  2. Step 2: Convert to fraction form
    53,435/80,531 = 80,531/x
  3. Step 3: Cross multiply
    53,435x = 80,531 × 80,531
  4. Step 4: Simplify right side
    53,435x = 6,485,241,961
  5. Step 5: Solve for x
    x = 6,485,241,961/53,435
  6. Step 6: Final answer
    x = 121,366.93

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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.