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Finding the Third Proportional to 82,204.88 and 124,193.25

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Solution

The third proportional to 82,204.88 and 124,193.25 is: 187,628.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,204.88 : 124,193.25 = 124,193.25 : x
  2. Step 2: Convert to fraction form
    82,204.88/124,193.25 = 124,193.25/x
  3. Step 3: Cross multiply
    82,204.88x = 124,193.25 × 124,193.25
  4. Step 4: Simplify right side
    82,204.88x = 15,423,963,345.56
  5. Step 5: Solve for x
    x = 15,423,963,345.56/82,204.88
  6. Step 6: Final answer
    x = 187,628.33

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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.