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Finding the Third Proportional to 30,172 and 65,366

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Solution

The third proportional to 30,172 and 65,366 is: 141,611.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,172 : 65,366 = 65,366 : x
  2. Step 2: Convert to fraction form
    30,172/65,366 = 65,366/x
  3. Step 3: Cross multiply
    30,172x = 65,366 × 65,366
  4. Step 4: Simplify right side
    30,172x = 4,272,713,956
  5. Step 5: Solve for x
    x = 4,272,713,956/30,172
  6. Step 6: Final answer
    x = 141,611.89

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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.