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Finding the Third Proportional to 30,813.75 and 66,538.13

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Solution

The third proportional to 30,813.75 and 66,538.13 is: 143,680.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,813.75 : 66,538.13 = 66,538.13 : x
  2. Step 2: Convert to fraction form
    30,813.75/66,538.13 = 66,538.13/x
  3. Step 3: Cross multiply
    30,813.75x = 66,538.13 × 66,538.13
  4. Step 4: Simplify right side
    30,813.75x = 4,427,322,078.52
  5. Step 5: Solve for x
    x = 4,427,322,078.52/30,813.75
  6. Step 6: Final answer
    x = 143,680.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.