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Finding the Third Proportional to 45,821 and 99,418

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Solution

The third proportional to 45,821 and 99,418 is: 215,707.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,821 : 99,418 = 99,418 : x
  2. Step 2: Convert to fraction form
    45,821/99,418 = 99,418/x
  3. Step 3: Cross multiply
    45,821x = 99,418 × 99,418
  4. Step 4: Simplify right side
    45,821x = 9,883,938,724
  5. Step 5: Solve for x
    x = 9,883,938,724/45,821
  6. Step 6: Final answer
    x = 215,707.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.