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Finding the Third Proportional to 30,576 and 46,172

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Solution

The third proportional to 30,576 and 46,172 is: 69,723.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,576 : 46,172 = 46,172 : x
  2. Step 2: Convert to fraction form
    30,576/46,172 = 46,172/x
  3. Step 3: Cross multiply
    30,576x = 46,172 × 46,172
  4. Step 4: Simplify right side
    30,576x = 2,131,853,584
  5. Step 5: Solve for x
    x = 2,131,853,584/30,576
  6. Step 6: Final answer
    x = 69,723.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.