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Finding the Third Proportional to 84,943.75 and 102,012.75

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Solution

The third proportional to 84,943.75 and 102,012.75 is: 122,511.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,943.75 : 102,012.75 = 102,012.75 : x
  2. Step 2: Convert to fraction form
    84,943.75/102,012.75 = 102,012.75/x
  3. Step 3: Cross multiply
    84,943.75x = 102,012.75 × 102,012.75
  4. Step 4: Simplify right side
    84,943.75x = 10,406,601,162.56
  5. Step 5: Solve for x
    x = 10,406,601,162.56/84,943.75
  6. Step 6: Final answer
    x = 122,511.68

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.