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Finding the Third Proportional to 3,877 and 9,133

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Solution

The third proportional to 3,877 and 9,133 is: 21,514.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877 : 9,133 = 9,133 : x
  2. Step 2: Convert to fraction form
    3,877/9,133 = 9,133/x
  3. Step 3: Cross multiply
    3,877x = 9,133 × 9,133
  4. Step 4: Simplify right side
    3,877x = 83,411,689
  5. Step 5: Solve for x
    x = 83,411,689/3,877
  6. Step 6: Final answer
    x = 21,514.49

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.