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Finding the Third Proportional to 82,809.75 and 178,847.63

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Solution

The third proportional to 82,809.75 and 178,847.63 is: 386,264.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,809.75 : 178,847.63 = 178,847.63 : x
  2. Step 2: Convert to fraction form
    82,809.75/178,847.63 = 178,847.63/x
  3. Step 3: Cross multiply
    82,809.75x = 178,847.63 × 178,847.63
  4. Step 4: Simplify right side
    82,809.75x = 31,986,472,968.14
  5. Step 5: Solve for x
    x = 31,986,472,968.14/82,809.75
  6. Step 6: Final answer
    x = 386,264.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.