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Finding the Third Proportional to 39,450 and 84,507

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Solution

The third proportional to 39,450 and 84,507 is: 181,024.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,450 : 84,507 = 84,507 : x
  2. Step 2: Convert to fraction form
    39,450/84,507 = 84,507/x
  3. Step 3: Cross multiply
    39,450x = 84,507 × 84,507
  4. Step 4: Simplify right side
    39,450x = 7,141,433,049
  5. Step 5: Solve for x
    x = 7,141,433,049/39,450
  6. Step 6: Final answer
    x = 181,024.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.