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Finding the Third Proportional to 9,023 and 21,737

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Solution

The third proportional to 9,023 and 21,737 is: 52,365.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,023 : 21,737 = 21,737 : x
  2. Step 2: Convert to fraction form
    9,023/21,737 = 21,737/x
  3. Step 3: Cross multiply
    9,023x = 21,737 × 21,737
  4. Step 4: Simplify right side
    9,023x = 472,497,169
  5. Step 5: Solve for x
    x = 472,497,169/9,023
  6. Step 6: Final answer
    x = 52,365.86

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.