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Finding the Third Proportional to 30,785.50 and 66,483

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Solution

The third proportional to 30,785.50 and 66,483 is: 143,573.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,785.50 : 66,483 = 66,483 : x
  2. Step 2: Convert to fraction form
    30,785.50/66,483 = 66,483/x
  3. Step 3: Cross multiply
    30,785.50x = 66,483 × 66,483
  4. Step 4: Simplify right side
    30,785.50x = 4,419,989,289
  5. Step 5: Solve for x
    x = 4,419,989,289/30,785.50
  6. Step 6: Final answer
    x = 143,573.74

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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.