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Finding the Third Proportional to 30,921 and 66,222.75

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Solution

The third proportional to 30,921 and 66,222.75 is: 141,827.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,921 : 66,222.75 = 66,222.75 : x
  2. Step 2: Convert to fraction form
    30,921/66,222.75 = 66,222.75/x
  3. Step 3: Cross multiply
    30,921x = 66,222.75 × 66,222.75
  4. Step 4: Simplify right side
    30,921x = 4,385,452,617.56
  5. Step 5: Solve for x
    x = 4,385,452,617.56/30,921
  6. Step 6: Final answer
    x = 141,827.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.