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Finding the Third Proportional to 20,984 and 45,424

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Solution

The third proportional to 20,984 and 45,424 is: 98,329.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,984 : 45,424 = 45,424 : x
  2. Step 2: Convert to fraction form
    20,984/45,424 = 45,424/x
  3. Step 3: Cross multiply
    20,984x = 45,424 × 45,424
  4. Step 4: Simplify right side
    20,984x = 2,063,339,776
  5. Step 5: Solve for x
    x = 2,063,339,776/20,984
  6. Step 6: Final answer
    x = 98,329.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.