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Finding the Third Proportional to 10,965.38 and 23,775.75

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Solution

The third proportional to 10,965.38 and 23,775.75 is: 51,551.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,965.38 : 23,775.75 = 23,775.75 : x
  2. Step 2: Convert to fraction form
    10,965.38/23,775.75 = 23,775.75/x
  3. Step 3: Cross multiply
    10,965.38x = 23,775.75 × 23,775.75
  4. Step 4: Simplify right side
    10,965.38x = 565,286,288.06
  5. Step 5: Solve for x
    x = 565,286,288.06/10,965.38
  6. Step 6: Final answer
    x = 51,551.93

Related Problems

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1.5x scale

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.