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Finding the Third Proportional to 53,485 and 83,185

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Solution

The third proportional to 53,485 and 83,185 is: 129,377.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,485 : 83,185 = 83,185 : x
  2. Step 2: Convert to fraction form
    53,485/83,185 = 83,185/x
  3. Step 3: Cross multiply
    53,485x = 83,185 × 83,185
  4. Step 4: Simplify right side
    53,485x = 6,919,744,225
  5. Step 5: Solve for x
    x = 6,919,744,225/53,485
  6. Step 6: Final answer
    x = 129,377.29

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.