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Finding the Third Proportional to 30,780 and 46,170

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Solution

The third proportional to 30,780 and 46,170 is: 69,255

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,780 : 46,170 = 46,170 : x
  2. Step 2: Convert to fraction form
    30,780/46,170 = 46,170/x
  3. Step 3: Cross multiply
    30,780x = 46,170 × 46,170
  4. Step 4: Simplify right side
    30,780x = 2,131,668,900
  5. Step 5: Solve for x
    x = 2,131,668,900/30,780
  6. Step 6: Final answer
    x = 69,255

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.