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Finding the Third Proportional to 10,937.53 and 23,431.78

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Solution

The third proportional to 10,937.53 and 23,431.78 is: 50,198.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,937.53 : 23,431.78 = 23,431.78 : x
  2. Step 2: Convert to fraction form
    10,937.53/23,431.78 = 23,431.78/x
  3. Step 3: Cross multiply
    10,937.53x = 23,431.78 × 23,431.78
  4. Step 4: Simplify right side
    10,937.53x = 549,048,372.55
  5. Step 5: Solve for x
    x = 549,048,372.55/10,937.53
  6. Step 6: Final answer
    x = 50,198.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.