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Finding the Third Proportional to 10,245.19 and 22,522.69

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Solution

The third proportional to 10,245.19 and 22,522.69 is: 49,513.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,245.19 : 22,522.69 = 22,522.69 : x
  2. Step 2: Convert to fraction form
    10,245.19/22,522.69 = 22,522.69/x
  3. Step 3: Cross multiply
    10,245.19x = 22,522.69 × 22,522.69
  4. Step 4: Simplify right side
    10,245.19x = 507,271,452.22
  5. Step 5: Solve for x
    x = 507,271,452.22/10,245.19
  6. Step 6: Final answer
    x = 49,513.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.