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Finding the Third Proportional to 9,156 and 19,761

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Solution

The third proportional to 9,156 and 19,761 is: 42,649.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,156 : 19,761 = 19,761 : x
  2. Step 2: Convert to fraction form
    9,156/19,761 = 19,761/x
  3. Step 3: Cross multiply
    9,156x = 19,761 × 19,761
  4. Step 4: Simplify right side
    9,156x = 390,497,121
  5. Step 5: Solve for x
    x = 390,497,121/9,156
  6. Step 6: Final answer
    x = 42,649.31

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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.