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Finding the Third Proportional to 18,680.25 and 39,507

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Solution

The third proportional to 18,680.25 and 39,507 is: 83,553.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,680.25 : 39,507 = 39,507 : x
  2. Step 2: Convert to fraction form
    18,680.25/39,507 = 39,507/x
  3. Step 3: Cross multiply
    18,680.25x = 39,507 × 39,507
  4. Step 4: Simplify right side
    18,680.25x = 1,560,803,049
  5. Step 5: Solve for x
    x = 1,560,803,049/18,680.25
  6. Step 6: Final answer
    x = 83,553.65

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.