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Finding the Third Proportional to 20,584.13 and 44,646.19

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Solution

The third proportional to 20,584.13 and 44,646.19 is: 96,835.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,584.13 : 44,646.19 = 44,646.19 : x
  2. Step 2: Convert to fraction form
    20,584.13/44,646.19 = 44,646.19/x
  3. Step 3: Cross multiply
    20,584.13x = 44,646.19 × 44,646.19
  4. Step 4: Simplify right side
    20,584.13x = 1,993,282,058.29
  5. Step 5: Solve for x
    x = 1,993,282,058.29/20,584.13
  6. Step 6: Final answer
    x = 96,835.89

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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.