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Finding the Third Proportional to 10,118.25 and 20,638.55

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Solution

The third proportional to 10,118.25 and 20,638.55 is: 42,097.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,118.25 : 20,638.55 = 20,638.55 : x
  2. Step 2: Convert to fraction form
    10,118.25/20,638.55 = 20,638.55/x
  3. Step 3: Cross multiply
    10,118.25x = 20,638.55 × 20,638.55
  4. Step 4: Simplify right side
    10,118.25x = 425,949,617.11
  5. Step 5: Solve for x
    x = 425,949,617.11/10,118.25
  6. Step 6: Final answer
    x = 42,097.16

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.