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Finding the Third Proportional to 30,154.50 and 66,246.75

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Solution

The third proportional to 30,154.50 and 66,246.75 is: 145,538.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,154.50 : 66,246.75 = 66,246.75 : x
  2. Step 2: Convert to fraction form
    30,154.50/66,246.75 = 66,246.75/x
  3. Step 3: Cross multiply
    30,154.50x = 66,246.75 × 66,246.75
  4. Step 4: Simplify right side
    30,154.50x = 4,388,631,885.56
  5. Step 5: Solve for x
    x = 4,388,631,885.56/30,154.50
  6. Step 6: Final answer
    x = 145,538.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.