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Finding the Third Proportional to 30,296 and 46,502

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Solution

The third proportional to 30,296 and 46,502 is: 71,376.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,296 : 46,502 = 46,502 : x
  2. Step 2: Convert to fraction form
    30,296/46,502 = 46,502/x
  3. Step 3: Cross multiply
    30,296x = 46,502 × 46,502
  4. Step 4: Simplify right side
    30,296x = 2,162,436,004
  5. Step 5: Solve for x
    x = 2,162,436,004/30,296
  6. Step 6: Final answer
    x = 71,376.95

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.