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Finding the Third Proportional to 82,446.75 and 123,875.44

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Solution

The third proportional to 82,446.75 and 123,875.44 is: 186,121.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,446.75 : 123,875.44 = 123,875.44 : x
  2. Step 2: Convert to fraction form
    82,446.75/123,875.44 = 123,875.44/x
  3. Step 3: Cross multiply
    82,446.75x = 123,875.44 × 123,875.44
  4. Step 4: Simplify right side
    82,446.75x = 15,345,124,015.82
  5. Step 5: Solve for x
    x = 15,345,124,015.82/82,446.75
  6. Step 6: Final answer
    x = 186,121.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.