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Finding the Third Proportional to 30,678 and 46,479

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Solution

The third proportional to 30,678 and 46,479 is: 70,418.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,678 : 46,479 = 46,479 : x
  2. Step 2: Convert to fraction form
    30,678/46,479 = 46,479/x
  3. Step 3: Cross multiply
    30,678x = 46,479 × 46,479
  4. Step 4: Simplify right side
    30,678x = 2,160,297,441
  5. Step 5: Solve for x
    x = 2,160,297,441/30,678
  6. Step 6: Final answer
    x = 70,418.46

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.