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Finding the Third Proportional to 9,147 and 19,681

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Solution

The third proportional to 9,147 and 19,681 is: 42,346.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,147 : 19,681 = 19,681 : x
  2. Step 2: Convert to fraction form
    9,147/19,681 = 19,681/x
  3. Step 3: Cross multiply
    9,147x = 19,681 × 19,681
  4. Step 4: Simplify right side
    9,147x = 387,341,761
  5. Step 5: Solve for x
    x = 387,341,761/9,147
  6. Step 6: Final answer
    x = 42,346.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.