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Finding the Third Proportional to 30,990 and 46,777

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Solution

The third proportional to 30,990 and 46,777 is: 70,606.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,990 : 46,777 = 46,777 : x
  2. Step 2: Convert to fraction form
    30,990/46,777 = 46,777/x
  3. Step 3: Cross multiply
    30,990x = 46,777 × 46,777
  4. Step 4: Simplify right side
    30,990x = 2,188,087,729
  5. Step 5: Solve for x
    x = 2,188,087,729/30,990
  6. Step 6: Final answer
    x = 70,606.25

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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.