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Finding the Third Proportional to 20,784 and 45,463

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Solution

The third proportional to 20,784 and 45,463 is: 99,445.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,784 : 45,463 = 45,463 : x
  2. Step 2: Convert to fraction form
    20,784/45,463 = 45,463/x
  3. Step 3: Cross multiply
    20,784x = 45,463 × 45,463
  4. Step 4: Simplify right side
    20,784x = 2,066,884,369
  5. Step 5: Solve for x
    x = 2,066,884,369/20,784
  6. Step 6: Final answer
    x = 99,445.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.