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Finding the Third Proportional to 9,747 and 21,135

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Solution

The third proportional to 9,747 and 21,135 is: 45,828.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,747 : 21,135 = 21,135 : x
  2. Step 2: Convert to fraction form
    9,747/21,135 = 21,135/x
  3. Step 3: Cross multiply
    9,747x = 21,135 × 21,135
  4. Step 4: Simplify right side
    9,747x = 446,688,225
  5. Step 5: Solve for x
    x = 446,688,225/9,747
  6. Step 6: Final answer
    x = 45,828.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.