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Finding the Third Proportional to 31,173.75 and 66,813.75

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Solution

The third proportional to 31,173.75 and 66,813.75 is: 143,199.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,173.75 : 66,813.75 = 66,813.75 : x
  2. Step 2: Convert to fraction form
    31,173.75/66,813.75 = 66,813.75/x
  3. Step 3: Cross multiply
    31,173.75x = 66,813.75 × 66,813.75
  4. Step 4: Simplify right side
    31,173.75x = 4,464,077,189.06
  5. Step 5: Solve for x
    x = 4,464,077,189.06/31,173.75
  6. Step 6: Final answer
    x = 143,199.88

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1.5x scale

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.