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Finding the Third Proportional to 30,678 and 66,372

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Solution

The third proportional to 30,678 and 66,372 is: 143,596.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,678 : 66,372 = 66,372 : x
  2. Step 2: Convert to fraction form
    30,678/66,372 = 66,372/x
  3. Step 3: Cross multiply
    30,678x = 66,372 × 66,372
  4. Step 4: Simplify right side
    30,678x = 4,405,242,384
  5. Step 5: Solve for x
    x = 4,405,242,384/30,678
  6. Step 6: Final answer
    x = 143,596.14

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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.