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Finding the Third Proportional to 19,578 and 27,909

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Solution

The third proportional to 19,578 and 27,909 is: 39,785.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,578 : 27,909 = 27,909 : x
  2. Step 2: Convert to fraction form
    19,578/27,909 = 27,909/x
  3. Step 3: Cross multiply
    19,578x = 27,909 × 27,909
  4. Step 4: Simplify right side
    19,578x = 778,912,281
  5. Step 5: Solve for x
    x = 778,912,281/19,578
  6. Step 6: Final answer
    x = 39,785.08

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.