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Finding the Third Proportional to 30,216 and 66,696

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Solution

The third proportional to 30,216 and 66,696 is: 147,218.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,216 : 66,696 = 66,696 : x
  2. Step 2: Convert to fraction form
    30,216/66,696 = 66,696/x
  3. Step 3: Cross multiply
    30,216x = 66,696 × 66,696
  4. Step 4: Simplify right side
    30,216x = 4,448,356,416
  5. Step 5: Solve for x
    x = 4,448,356,416/30,216
  6. Step 6: Final answer
    x = 147,218.57

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.