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Finding the Third Proportional to 30,157 and 66,329

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Solution

The third proportional to 30,157 and 66,329 is: 145,887.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,157 : 66,329 = 66,329 : x
  2. Step 2: Convert to fraction form
    30,157/66,329 = 66,329/x
  3. Step 3: Cross multiply
    30,157x = 66,329 × 66,329
  4. Step 4: Simplify right side
    30,157x = 4,399,536,241
  5. Step 5: Solve for x
    x = 4,399,536,241/30,157
  6. Step 6: Final answer
    x = 145,887.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.