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Finding the Third Proportional to 20,830 and 45,357

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Solution

The third proportional to 20,830 and 45,357 is: 98,764.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,830 : 45,357 = 45,357 : x
  2. Step 2: Convert to fraction form
    20,830/45,357 = 45,357/x
  3. Step 3: Cross multiply
    20,830x = 45,357 × 45,357
  4. Step 4: Simplify right side
    20,830x = 2,057,257,449
  5. Step 5: Solve for x
    x = 2,057,257,449/20,830
  6. Step 6: Final answer
    x = 98,764.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.