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Finding the Third Proportional to 30,821 and 45,133

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Solution

The third proportional to 30,821 and 45,133 is: 66,090.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,821 : 45,133 = 45,133 : x
  2. Step 2: Convert to fraction form
    30,821/45,133 = 45,133/x
  3. Step 3: Cross multiply
    30,821x = 45,133 × 45,133
  4. Step 4: Simplify right side
    30,821x = 2,036,987,689
  5. Step 5: Solve for x
    x = 2,036,987,689/30,821
  6. Step 6: Final answer
    x = 66,090.90

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.