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Finding the Third Proportional to 30,509 and 66,166

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Solution

The third proportional to 30,509 and 66,166 is: 143,496.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,509 : 66,166 = 66,166 : x
  2. Step 2: Convert to fraction form
    30,509/66,166 = 66,166/x
  3. Step 3: Cross multiply
    30,509x = 66,166 × 66,166
  4. Step 4: Simplify right side
    30,509x = 4,377,939,556
  5. Step 5: Solve for x
    x = 4,377,939,556/30,509
  6. Step 6: Final answer
    x = 143,496.66

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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.