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Finding the Third Proportional to 9,745 and 21,047

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Solution

The third proportional to 9,745 and 21,047 is: 45,456.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,745 : 21,047 = 21,047 : x
  2. Step 2: Convert to fraction form
    9,745/21,047 = 21,047/x
  3. Step 3: Cross multiply
    9,745x = 21,047 × 21,047
  4. Step 4: Simplify right side
    9,745x = 442,976,209
  5. Step 5: Solve for x
    x = 442,976,209/9,745
  6. Step 6: Final answer
    x = 45,456.77

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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.