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Finding the Third Proportional to 10,464.19 and 11,400.75

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Solution

The third proportional to 10,464.19 and 11,400.75 is: 12,421.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,464.19 : 11,400.75 = 11,400.75 : x
  2. Step 2: Convert to fraction form
    10,464.19/11,400.75 = 11,400.75/x
  3. Step 3: Cross multiply
    10,464.19x = 11,400.75 × 11,400.75
  4. Step 4: Simplify right side
    10,464.19x = 129,977,100.56
  5. Step 5: Solve for x
    x = 129,977,100.56/10,464.19
  6. Step 6: Final answer
    x = 12,421.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.